 If you liked
Kamichu!
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 ...then you might like
Suzumiya Haruhi no Yuuutsu
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The premise is somewhat similar: give a young girl godly powers and see what happens.
The main protagonist is a God, and they are at the center of everything involving in the story! Both anime looked very impressive during the mid 2000s, Haruhi definitely surpassed the other in popularity but the overall concept is similar. Their clever writing are easy to swallow