I recently had a new student ask me for my jazz album recommendations, and so without thinking too much about it, I listed the first albums that came to mind. My student had been learning rock songs, and so I wanted to create a list that was enjoyable to listen to, full of melodies that were memorable, and featuring some of the classic players and albums that I was exposed to in college. This is not meant to be a comprehensive list, but a list that provides inspiration to hopefully learn more about jazz, and to enjoy listening to the "sound" of jazz (from a drummers perspective) - where the drums sit in the mix and specifically how the ride cymbal and hi-hats (left foot) take on a larger time keeping role compared to how the kick and snare do the bulk of the time keeping in rock music. (I know these are over-generalizations of the role of the kick/ snare/ hat and ride, but hopefully you get the idea.) Many of these albums feature some great brush playing as well.
And I felt that this song relates to the song "Moanin" (specifically how the drum groove feels) so I included it in the list as well:
However, if you find that you are not quite ready to start listening to jazz or playing it, may I suggest Pyramid Song by Radiohead? It has a simple jazz drum groove that starts about half-way through the song. It's one of my favorite songs for teaching beginner students how to play jazz drums.