I really enjoyed the two Goku Midnight Eye OVA films. I wouldn’t call them classic, but they’re cheesy cyberpunk 80s films that are basically Person of Interest meets Kilik from Soul Calibur.
Here’s a trailer:
(CW Warning for SEX and NUDITY and GORE and BARE CHESTS IN SUITS. It’s pretty dated, writing and content wise. But you can easily take yourself out of it and have fun. I think it’s free on Youtube or on Amazon Prime.)
Also, the ending theme SLAPS:
This movie made me watch Wicked City, which was a HUGE mistake. Fuck that movie.
Speaking of which, I’ve been looking for a 80s early 90s anime OVA that involves body horror. I don’t know what it’s called, but I remember there’s a scene where The Thing starts to basically start forming inside of a diner. It’s very bloody and gorey, but I think the Thing monster snaps out of it when the girl he likes tells him to stop or something. I only saw that ONE scene, but I’ve been looking for it ever since.