I was lucky enough to have seen Miles Davis, Louis Armstrong, Stan Getz, and many more.
Also, I'd suggest you give a listen to Art Tatum, Herbie Hancock, Mose Allison, Horace Silver, and McCoy Tyner, among others, of course.
Lots of different eras and styles of music even within the works of any one of these artists.
As for blues, I like Elmore James, the original Fleetwood Mac, Muddy Waters, Roy Bucchanan, and a lot of others.
The thing to remember is that there are lots of different styles and there are lots of cross-over performers. Many times I've found that if you find a recording that you really like, it's a great idea to check out who is playing on the album, and then follow up on them as well. "Thread pulling" on almost any type of music is a neat way to open up your tastes and expand your collection.
Jazz and blues are even more reasons that I love satellite radio!