Buddy Complex
バディ・コンプレックス (original)
When a giant robot suddenly attacks the city, a high-school student named Aoba is saved by a classmate piloting her own mecha. After accepting an offer to join the alliance she's is a part of, Aoba is thrust into the middle of high-flying robot warfare.
Starring Yoshitsugu Matsuoka, Koki Uchiyama, Saori Hayami, Aoi Yuki, Tomokazu Sugita, Hiroyuki Yoshino, Nobunaga Shimazaki
Watch "Buddy Complex" from streaming services Hulu Plus, Tubi TV released in 2013. It's a animation and sci-fi & fantasy show, and has a rating of 7 out of 10 from Imdb which is usually fine for this kind of show.