I probably don't have any albums that would qualify as weird to a lot of members on here. But still, check out
Krai by Olga Bell. It's not only sort of weird, but also really good.
https://open.spotify.com/album/0pBKpwpKNEfxvX7j93nGiz
I guess Waltari is a sort of weird band, and they've been one of my favorite bands for many years. But they're perhaps not much weirder than Faith No More, so...
What can I say. I like melodic, "normal" songwriting. My favorite artist of all time just might be Tori Amos.