This time we’re talking about Mobile Suit Gundam 0080: War in the Pocket, a 1989 anime OVA. Directed by Fumihiko Takayama and written by Hiroyuki Yamaga.
OSMcast! Show #195: Mobile Suit Gundam 0080: War in the Pocket
OSMcast! Show #193: Gunbuster
From 1988 to 1989, the anime studio Gainax gave us a six episode OAV(OVA?) series known as Gunbuster. It had it all: Giant robots, space aliens, ladies from an all-girls school training in giant robots to fight the space aliens,