Has anyone some movie, shows or anime recommendations?
I'd love to watch something that's on the creepy or horror side but not jumpscares. More like something on the psychological side.
Any ideas or favorites?

An anime I really liked was The Apothecary Diaries which has mystery in it, and bungo stray dogs is a big one too, but a good pick would be Chainsaw man or Fire force with some comedy.

Anime: Psycho pass, parasyte, hell girl, zetsubou sensei, monogatari series, junji ito series, another, erased, when they cry series etc.
As for movies and and shows, honestly I don't know, I only know the scary ones that have jumpscare. I can reassure you there's no jumpscare on my recommendation list