There was Bubblegum Crisis.

This anime was perhaps among the best of the best of the 1980s.
Bubblegum crisis is a futuristic cyberpunk story set in the year 2036 (the same time frame that Shiro Masmune set Ghost in the Shell).

Anime News Network has a decent write up on this anime.

It's got it all: chicks, mecha, cyborgs, androids, and a world controlled by computers.