I don't watch too much anime, so I can't help you there, but I've been reading a lot of shoujo so...have you heard of Uchuu wo Kakeru Yodaka? It's about a body switch. Has supernatural elements. There's also Suijin no Ikenie which is by the same author who wrote Reimei no Arcana, both of which aren't set in school. Uchuu wo Kakeru Yodaka and Suijin no Ikenie are both newer manga so they only have ~5-10 chapters out. I read them on mangalator. If you're interested in Manhwa and haven't heard of these, I'd really recommend Pinocchio and Cheese in the Trap. CITT is set in college, but it's so much more than the shoujo, school life cliches (but it is josei so I guess that explains it). And Pinocchio is about a ghost boy and a girl who's able to see him.