First of all, the International Jazz Day site has videos of some concerts featuring Herbie Hancock. Herbie doesn't come out until about 22:00 in the first video, but it is worth a listen.
Now for two songs from Duke Ellington, and one each from Miles Davis and Herbie Hancock. Actually, for some of these, I am linking to multiple versions because each version is remarkable.
Duke Ellington: Take the A Train
With his Big Band Live at Newport Jazz Festival. This version really swings.
With a trio. This is a very smooth, cool (and longer) version of the tune.
Duke Ellington: Caravan
Art Blakey & The Jazz Messengers do a nice version of this classic.
Wes Montgomery's version swings, baby.
Oscar Peterson's piano work is incredible.
Miles Davis: So What
Live in Stockholm in 1960
Herbie Hancock, et al do the song justice in their tribute to Miles.
Herbie Hancock: Maiden Voyage
The studio version from the album of the same name is lovely. Freddie Hubbard's trumpet solo absolutely gives me chills every time.
