I love jazz! There are a few of us here that know their music!
I enjoy big-band and 20's and 30's jazz. I really enjoy Stan Kenton, Maynard, Woody Herman, and especially Glenn Miller. I have played lots and lots of jazz as well (I'm a drummer).
I enjoyed the Sonny Rollins clip. I think I saw him at the Pittsburgh Jazz Festival one year in the early 1990's. I also saw Arturo Sandoval at that festival before he defected from Cuba!
...on a related note, my Great-Uncle was Johnny Costa, the jazz pianist. He was most famous for being Mr. Rogers' musical director, and of course, played on every show! The trolley music was always my favorite!