I really like chet baker. (His trumpet playing not his singing). His trumpet somehow sounds much softer than most other famous players.
I studied classic trumpet playing for awhile during high school. I have recently picked it up again trying to teach myself some jazz with notes from the library and some help from youtube.
So fare I have enjoyed practicing classic bossa nova (mostly jobim), duke ellington (solitude, satin doll), chet baker/Gershwin (summertime), ain't misbehavin' (fats waller). There are some good tutorials on youtube with transcriptions of the music. I've also tried to improvise abit, but since I play alone that hasn't really been that amazing.
Does anyone else play jazz? What are some of your favorite tunes to play?