Ohoho, I heard my name called. B)
First off, let me put in a good word for some of the other recommendations people made: Noragami, Akatsuki no Yona, Seraph of the End, Boku no Hero Academia (I LOVE this one with all my heart), Death Parade, Baccano, Guggure Kokkuri-san, Angel Beats, and Durarara!! (DEFINITELY recommend).
Now, to add to the already amazing list of anime... I'll go with Zap's route in just adding the descriptions from KissAnime, for the ease of things. I'll try to make most of these PG-13.
Romance:Inu x Boku SS: Aaaaa, I got grab-bag posters of this anime when I went to Japan, and they're adorable. The main couple is adorable. Scratch that, everyone is adorable. The show is
HILARIOUS. "The Shirakiin house's daughter, Shirakiin Ririchiyo, who has a complex about being unable to live independently and unprotected, feels the need to move out and live on her own under the condition of residing in the mansion named "Ayakashi Kan." In this mansion, only those who have cleared a very strict examination could reside in it, and for each resident, they are accompanied with one agent of the Secret Service (S.S.). Although Riricho has rejected the company of the S.S., while residing in the mansion she finds out that the agent dedicated to protecting her is actually the Fox Spirit whom she previously rescued."
Brother's Conflict: Really cute reverse-harem romance anime! I've watched all but the last three episodes. It was based on a visual novel which is due to be getting a translation soon. "When Chii’s father remarried, she gained more than just a stepmother - she also became the stepsister to thirteen brothers! And as if her now massively-sized family isn’t enough to handle, the girl also learns that they’ll be moving in together! Chii’s new brothers are eager to help her feel welcome, but with everyone living together without parental supervision, the arrangement might lead to more than just new friendships..."
OzMafia!!: Hmm, this actually a new one. I found it as I was looking for other anime to recommend actually, haha! It's another reverse-harem romance anime. I haven't watched the anime, but I played the game (a visual novel) and it was definitely towards the top of my list. There was some violence in the game, but noting excessive enough to render it 18+, I don't think. There was only one route (Manboy and Dorian Grey) where it got... umm... not... appropriate, so I'm not sure how they handle that in the anime. "Fuuka is an amnesiac. As she wanders through the unfamiliar town, she realizes that she's being chased. It's one of the mafia families running the town -- the Oz family -- that saves her. In a town where friendship and fighting exist together, Fuuka must decide who's hand to accept. And then there's the question: why doesn't she remember anything?"
Kamigami no Asobi: ...You'd think I'd get sick of reverse-harems, but nope! "The story revolves around heroine Yui Kusanagi, who is ordered by Zeus, a god and the headmaster of a school he created, to teach the meaning of love to young and handsome gods. The reason he has for doing this is to cancel the negative effects of the weakening bond between the world of the divine and the world of the humans." Loki is my love. There's also a visual novel, but it's only in Japanese.
Romeo x Juliet: This unique take on Romeo and Juliet was my first run-in with Shakespeare, so my love for the playwright probably stems from this. I don't think there's much need to post a description. It's Romeo and Juliet, with pegasi and a crossdressing Juliet.
Action:Puella Magi Madoka Magica: This show is about cute magical girls and it will rip your heart out of your chest and tear it to pieces. It's also
incredibly trippy and totally my style. "After experiencing a bizarre dream, Madoka Kaname, a kind 14-year-old girl, encounters a magical creature named Kyube. Madoka and her friend Sayaka Miki are offered the opportunity of gaining magical powers if they agree to make a contract with the strange little being. He will also grant them one wish, but in exchange they shall risk their lives by accepting the responsibility of fighting witches. Invisible to human eyes, witches are catalysts of despair in the areas they inhabit. An ally of Kyube, a magical girl named Mami Tomoe, befriends and encourages the two girls to accept the contract. For an unknown reason, another magical girl named Homura Akemi is determined to prevent Madoka from accepting the deal." Here's a video of the
first labyrinth if you still aren't convinced about how awesome the animation is, haha.
Eureka Seven: To sum it up: air surfing mechs. This was one of my favorite shows to watch on Adult Swim as a kid. I've started rewatching it with my boyfriend recently, and it's even better than I remember, haha. The main girl, Eureka, is an angel. <3 "Renton Thurston is a 14-year-old boy who lived with his mechanic grandfather in a backwater town. Every day he dreamed of being with the mercenary "Light Finding Operation (LFO)" aircraft pilot group "Gekkostate" and riding "Trapar" particle waves-- a sport called "reffing"-- with their charismatic leader Holland, especially when faced with his father's acclaimed past or his grandfather's desire to protect him. When a young girl named Eureka riding the original LFO, the "Nirvash typeZERO", asks his grandfather for a tune-up, she inadvertently brings the attention of the military to the garage; as a result, the garage is destroyed and Renton is forced to deliver a new type of interface-- the "Amita Drive"-- to the Nirvash. After a heated fight in which the Nirvash destroys the military LFOs by unleashing an immense amount of power, Renton is invited into Gekkostate. However, he quickly realizes that behind the facade of a traveling group of mercenaries is a very bitter reality."
Kiznaiver: "The fictional Japanese city named Sugomori City is built on reclaimed land. But as the years go by, the city's population is decreasing. One day, Sonosaki tells her classmate Katsuhira: "You have been selected to be a Kiznaiver." The Kizuna System, which allows Katsuhira to share his wounds, connects him to the classmates whose lives and personalities completely differ from his. The Kizuna System is an incomplete system for the implementation of world peace that connects people through wounds. All those who are connected to this system are called Kiznaivers. When one Kiznaiver is wounded, the system divides and transmits the wound among the other Kiznaivers." Watch it. <3
Bungou Stray Dogs: Detectiiiives. You get me, Mousen. ; v ; This show actually uses famous Japanese authors as inspiration for the characters, which becomes a pretty big driving point for the plot. I haven't finished watching it, but there is a fair bit of violence. Nothing downright
extreme, so it's probably on the 17+/18+ border? There's also some suggestive themes, but it still falls in the 13+ category there. "For weeks, Atsushi Nakajima's orphanage has been plagued by a mystical tiger that only he seems to be aware of. Suspected to be behind the strange incidents, the 18-year-old is abruptly kicked out of the orphanage and left hungry, homeless, and wandering through the city. While starving on a riverbank, Atsushi saves a rather eccentric man named Osamu Dazai from drowning. Whimsical suicide enthusiast and supernatural detective, Dazai has been investigating the same tiger that has been terrorizing the boy. Together with Dazai's partner Doppo Kunikida, they solve the mystery, but its resolution leaves Atsushi in a tight spot. As various odd events take place, Atsushi is coerced into joining their firm of supernatural investigators, taking on unusual cases the police cannot handle, alongside his numerous enigmatic co-workers."
Ranpo Kitan: A Game of Laplace: ...Shamelessly adding another detective anime because this is the one that gave me the idea to make Verniy. ; v ; This anime was actually made to commemorate... some anniversary of the novels of Ranpo Edogawa, a famous Japanese mystery writer. Akechi is pretty much the Japanese Sherlock Holmes. I believe it's... the first three novels of his that have gotten an English translation (I'm going to looking into ordering them from Amazon with Christmas money, when it comes time). "The story takes place at a certain middle school where several murder cases take place. Kobayashi, a boy who goes to this school, meets genius detective Akechi, who comes to the school to investigate. Kobayashi takes an interest in Akechi and, in spite of his friend Hashiba's worries, he volunteers to be Akechi's assistant."
.hack//Roots: I will forever promote this entire series because it's um,
sort of where my username comes from. I always tell people is the
way better version of Sword Art Online, because it most definitely is. I've only watched some of the anime, but I've read the entire manga and finished all the games in the series, haha. This is the prequel to the .hack//G.U. games, but there's a movie out that covers game's story (or there's always let's plays). "Years after the events of the first .hack installment, the popular but dangerous online game "The World" has been resurrected. As Haseo the Terror of Death, players are thrown into his quest for revenge in his search for the mysterious PK (Player Killer) Tri-Edge. .hack//Roots covers the time Haseo spent with Shino and Ovan in the guild known as the Twilight Brigade, before the .hack//G.U. PS2 games." There's a ton of "hacking" into the video game, people falling into comas, and just general craziness surrounding the crew's quest to "fix" the game/save players, I'd say?
Macross 7/Frontier/Delta: It's a pretty old series (I'd almost say a classic) that just got a new season recently. Space, mechs, and cute singing girls, what more can you ask for? There's also some subtle romance in there, but I wouldn't say it's the focus. The order is Macross 7 --> Frontier --> Delta. Frontier is the best in my opinion, but Delta is my guilty pleasure because it has disgustingly catchy
songs and I want to squeeze the heroine's cheeks. It's all the rage in Japan right now.
Re:Zero kara Hajimeru Isekai Seikatsu: ...Or Re:Zero for short. This one can actually get very violent (
especially in the recent episodes; it's still airing now) so I'm
really not sure if it's 17+ or 18+, but if you can get past that, the plot is simply
stunning. "Natsuki Subaru, an ordinary high school student, is on his way home from the convenience store when he finds himself transported to another world. As he's lost and confused in a new world where he doesn't even know left from right, the only person to reach out to him was a beautiful girl with silver hair. Determined to repay her somehow for saving him from his own despair, Subaru agrees to help the girl find something she's looking for..." I'll give a slight spoiler here, but only because it's the show's main mechanic and major selling point: whenever Subaru dies, he "resets" and continues on from a previous point, almost like a save. As he manages to trump each plot arc, the "save point" moves up. The characterization and background in this is just to
die for, and it's hard to truly hate any one character (with the exception of the big bads).
Tokyo Ghoul: Hesitant to mention this here since I'd definitely label it at 18+, but it's my
favorite series and I couldn't just not mention it. They give sense to the violence in the series, which I think made me more open to seeing acts of violence in anime in general. Definitely 18+, but I love seeing characters I love suffer and they do that wonderfully. There's not a "good" or a "bad" side in this, and that's what I love. The ghouls are killing just to survive, and the police, rightfully so, are doing their best to control the ghouls and keep civilians safe. "The suspense horror/dark fantasy story is set in Tokyo, which is haunted by mysterious "ghouls" who are devouring humans. People are gripped by the fear of these ghouls whose identities are masked in mystery. An ordinary college student named Kaneki encounters Rize, a girl who is an avid reader like him, at the café he frequents. Little does he realize that his fate will change overnight."
Fate Series (Zero, Stay Night, Unlimited Bladeworks): Pretty sure the violence makes this 17+, but I don't think it crosses the border. My boyfriend's favorite series and my current obsession, oh gosh. "Shirou Emiya lost his parents in a fire when he was young and was later adopted by a sorceror by the name of Kiritsugu Emiya. Although he was full of admiration for his adopted father and yearns to become an ally of justice, Shirou has limited powers and was unable to become a strong sorceror like his father. That is until one fateful day, he was drawn into the Holy Grail War and had to summon a female "Servant" known as Saber in order to protect himself. It turns out that the Holy Grail War involves a series of battles among powerful sorcerors to fight for the possession of a relic that will grant one's wishes, the Holy Grail. There are altogether seven "Masters" who can summon their respective "Servants" from different classes known as Saber, Archer, Rider, Berserker, Lancer, Caster and Assasin. These "Servants" have to hide their names in order not to reveal their weaknesses to the enemies. The story revolves around Shirou and his entanglement in the Holy Grail War." The order is Zero (prologue) --> Stay Night --> Unlimited Bladeworks. There's also a spin-off where one of the characters becomes a magical girl.
...I watch a lot of anime, haha. I think I went a little overboard, but there's more to add to your pool. <3