Teizokurei Daydream

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) 

These anime are completely ridiculous with the most ridiculous things that happen to them. Both involve some level of supernatural whether it be completely odd...or random. 

Both are echii, both is in "Supernatural, Sci-Fi, Horror" category. But, Mnemosyne is too much better. The history is better, and besides the simple echii, there are some yuri!! xD Ps: but Mnemosyne is not a comedy... 

Similar OVAs in that they both revolve around rather attractive women who do detective work relating to the supernatural.