Total Recommendations: 2
If you liked
Koukaku Kidoutai: Stand Alone Complex
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...then you might like
Teizokurei Daydream
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I don't want to compare the two, but Ghost in the Shell is quite similar. - Both animes have female protagonists - Both are related to crime - Both include a way of solving crimes that isn't possible (or possible 'yet') - Lastly, both of these shows include some sort of memory dive-esque skill to solve a crime (part of the previous comparison)
If you liked
Chobits
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...then you might like
DearS
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Both DearS and Chobits have a story featuring a main character that nobody knows much about. I'd say both could be considered romance, and they both have some Sci-Fi stuff. Without a doubt, these two are what I would consider as classics of the new millennia. If you liked DearS, you'll enjoy Chobits. I 100% guarantee it.