I agree with you on the rap.
Except for metal I don't really listen to much of the pre-80s music though the exceptions are Led Zep, Beatles and Dylan.
Have you tried some of the new alternative stuff like Of Monsters And Men?
I like Jazz though I don't know as much about it as I would like to, So far I have listened to Coltrane and Charlie Parker.
I don't know much about classical but I love listening to classical. I find it soothing and calming especially violin works like Vivaldi..
Have you listened to Trans-Siberian Orchestra? Very nice blend of Classical and Metal.
In metal I prefer heavy, thrash and symphonic. I don't really like death metal and its variants as I prefer clear vocals. Love Maiden, Dream Theater and Opeth.