If you liked
Sword Art Online
|
...then you might like
Accel World
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Both anime are based in a game world, in which if the player dies they die in real life. Accel world is, to be honest, a very very poor anime. However if you liked it, then you are guarenteed to love Sword Art Online for the simple fact that its 100x better, it may be a little flawed however it doesnt take away from the beautiful art and immersive experience you get from watching it.
If you liked
Bleach
|
...then you might like
Ao no Exorcist
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Both are to do with otherworldly beings for example; the shinigami and the hollows in bleach and the demons within Ao No Exorcist. Whilst the plots are quite different, they are both great animes (if you exclude bleach's filler). I highly recommend both anime.
If you liked
Death Note
|
...then you might like
Steins;Gate
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I am a big fan of animes that require intelligent thinking, whilst the plots are not even similar, they both have a large sense of mystery as well as the ability to engage your mind! Both insanely brilliant animes that you're missing out on if you haven't watched them! Highly recommend on both sides.
If you liked
One Piece
|
...then you might like
Fairy Tail
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Both follow groups of close friends who go on adventures in ivast, in-depth worlds! They both will make your emotions swing wildly and get you attached to the characters
If you liked
Angel Beats!
|
...then you might like
Ano Hi Mita Hana no Namae wo Bokutachi wa Mada Shiranai.
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They both follow the stories of people in the afterlife, even though anno hanna does it in a real life setting, both are guarenteed to make you cry (if you have a heart)