ID-0

Mecha story with similar vibes - E7 is one of my favorites and I loved ID-0 

Main heroines are REALLY similar. In personality, and both couldnt find the place where they belong then by a stroke of luck they find a group to which they are cold at first but then they start to realize how great they are and get warmer to them. Apart from that everything else is different, i do think ID-0 is a better anime out of two. 

Both ID-0 and AICO Incarnation are sci-fi shows that follow a girl who is abducted by a third party, but decides to help them in the end. Both must deal with a mysterious supernatural force that threatens humanity, which is eventually discovered to be the cause of scientific meddling. 

Genre: Mecha, Drama, Sci-Fi, some comedy Both are kind of underrated anime where the characters grow on you and the story slowly reveals itself to be decent. One main character in both series is inserted into an unfamiliar and uncomfortable situation with a group of complete strangers. These groups of people grow to understand one another and work together. 

Different setting but same director (Gorō Taniguchi) and similar CG mecha designs.