Whats the name of this horror anime
I'm pretty sure I found what you're describing, in the quest to figure out what's the horror anime from late 80s/early 90s that I'm looking for. 

From: http://www.animenewsnetwork.com/encyclopedia/anime.php?id=8211

The Curse of Kazuo Umezu
楳図かずおの呪い (Japanese)

Plot Summary: Two separate stories. In "What Will the Video Camera Reveal", a transfer student arrives from Mexico causing great agitation into the life of a classmate named Masami. In "The Haunted Mansion", four girls adventure into a sinister house on their neighborhood.

https://www.youtube.com/watch?v=ipIppmeQwf0