OVAs, a couple films, & a series all available for free on Youtube, Archive, Freevee or Tubi. Check out Vol. 1.
Call Me Tonight (1986). Horror-comedy with one joke smartly comes in at 30 minutes. Way more sex than you’d expect given the childish premise and plenty of body horror.
Domain of Murder (1992). Murder mystery and OVAs is such an obivous fit, yet this is the first one I think I’ve found. Beautifully made with tons of personality sadly in service of an amateurish script. This is what happens when your politics are formed entirely by entertainment.
Dark Cat (1991). Shapeshifting brothers must find the evil wizard turning a faculty into monsters. Why do people hate this? It’s mid, but not awful. Uses its time well and the plotting doesn’t overreach.
Lily Cat (1987). Alien knock off with killer atmosphere, but if there’s one thing I hate in entertainment it’s a wonderful production wasted on a mediocre script. Only sci-fi horror fans need apply, but you can do better. Speaking of…
Roots Search (1986). A vaguely defined monster kills off a space crew of characters thinner than tissue paper. This truly is every good-bad 80s sci-fi horror schlocker packaged as an OVA. We’re talking The Terror Within, Creature, & Forbidden World levels of trash in a tight 45 minutes.
The Curse of Kazuo Umezu (1990). Two part horror anthology based on the works of Junji Ito’s fave author. This is a new fave for me, genuinely unnerving, with stilted animation that sets you off guard and character designs that will haunt you. Only available in terrible quality (with subs, and a better upload on archive without) it deserves to be on you Halloween watchlist.
Digital Devil Story: Megami Tensei (1987). The devil lives in the school computer lab, that’s it. More of a historical curiosity. Not awful, but you already know if you need to see this or not.
They Were Eleven (1986). The Breakfast Club as a space school thriller. I feel this one is just a year or so away from rediscovery and cult status. All killer teen drama with gorgeous analogue sci-fi trappings. Some clumsy sexual politics & a too easy conclusion aside this is basically a perfect movie.
Cat’s Eye (1984). Three sisters work as jewel and art thieves in this 80’s as hell caper series. Cotton candy entertainment of the Lupin the 3rd variety with a similar portrayal of the cops as incompetent dorks.
Bonus: Cat’s Eye from 1997 is a live action adaptation of the property with Burton’s Batman aesthetics and FX by Takashi Ito. If you liked leather clad Catwoman here’s a film with three of them! Also a hefty dose of xenophobic Chinese caricatures, yikes!