If you liked
Ano Hi Mita Hana no Namae wo Bokutachi wa Mada Shiranai.
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...then you might like
Ano Natsu de Matteru
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Very similar feel of summertime and a group of friends with plenty of tear jerking action. In both shows there is a unique main female lead and very relatable main characters. Both include relationship drama and love triangle/squares. The art style is also similar. Overall they two shows just feel very similar in many different ways.
If you liked
Kanon (2006)
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...then you might like
Clannad
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Both based off of Key visual novels. Both have that visual novel feel where they have character arcs. The arcs tend to be dramatic and sad but there is still room for humor in both of the shows. If Clannad didn't have After Story, these two shows would be eerily similar.
If you liked
Sword Art Online
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...then you might like
Accel World
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Same writer. Both are about futuristic gaming and a connection between the real world and gaming world.
If you liked
Suzumiya Haruhi no Shoushitsu
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...then you might like
Steins;Gate
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The plot lines are extremely similar because they follow a lone protagonist struggling through alternate or distorted timelines. Both shows do a great job of portraying the main character's thoughts feelings as they experience this dilemma. Both are brilliant pieces of work and should be watched not only be fans of Steins Gate and Haruhi Suzumiya, but by any fan of anime in general.