Recommendation 1
Fruits basket, chobits, kyo kara maou(that's just a an anime not manga)
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Recommendation 2
Vampire Knight, Fushigi Yugi, Absolute Boyfriend
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Recommendation 3
There are many different genres of anime, as many as there are for movies - scifi, fantasy, romance, comedy, etc.
The ones listed above would be considered romance, and basically for girls (a category called shojo, meaning the target audience is young girls).
I suggest going on wikipedia itself, and searching under a category of anime:
shojo: for young girls, idealized romances, etc (Fushigi Yugi, Sailor Moon)
shonen: for young boys, lots of action, etc. (Naruto, Bleach)
seinen: for older males, depicting more realistic relationships (Honey and Clover, Shakugan no Shana)
josei: for older women, again depicting more realistic relationships (Nana, Paradise Kiss).
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Recommendation 4
Classic anime, that eveyone should see no matter what, include: FLCL, Akira (movie), Cowboy Bebop, Full Metal Alchemist, Evangelion, Samurai Champloo, Escaflowne, and the list goes on.
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Recommendation 5
I would like to add onto the lists from above...
Katekyo Hitman Reborn, One Piece, Shaman King, Eureka 7, Azumanga Daioh, Tactics, Hunter X Hunter, Ergo Proxy, Keroro Gunsou, Speed Grapher, Tsubasa, Rozen Maiden, D. Gray Man and Gintama.
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Recommendation 6
I'd like to add to that list as well. A personal favorite: Death Note. Surprised nobody has added it yet.
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Recommendation 7
Here are some animes that I really enjoyed and would recommend :
you can probably find some good PG anime on any anime channel
What you will think is good anime depends on what you like. There is a kind of anime suited to almost every taste and sense of humor.
Some of the good shonen anime related to Naruto are trinity blood, inuyasha abs Naruto Shippuden.
Some of the best anime pictures can be found on the Anime Paper website or Manga & Anime section of Deviant Art. Some good artwork may also be found on fanpop.
Okami
You can find anime styled art and pictures at cuded or any anime fan site.
Gogoanime.com is good
hamtaro is a good anime for little children
Give good detailed correct answers and you will get recommendations.
you can watch kamichama karin
Try a anime vamp out fit.This works EVERY time. Or you could get some cat outfit anime, and yeah.
Shinsekai yori, Beserk, Black Lagoon, and Steins Gate are all very serious anime, that do not have most of the elements that an average anime does.