AoT itself is inspired by muv luv, which afaik founded the whole “humanity on the brink of extinction fighting against some enemy” concept. But while AoT is the first anime of a story like that to my knowledge, I also can’t really think of another anime with that concept outside of 86 (i will not acknowledge the existence of the horrendous muv luv adaptation that came out a few years ago, plus it wouldn’t make sense to include as something AoT inspired anyway).