You might get a better flavor of real jazz by listening to some of the classic recordings. People will offer you different opinions on who is great and what albums are essential, but here's a list of titles you should consider. All of these are well-known albums by the most important artists in jazz. These tend to be older releases, but the provide a great foundation. They're not listed in any specific order, mostly by how much I like them.
I cannot imagine my jazz collection without these:
John Coltrane - "Giant Steps"
Miles Davis - "Kind of Blue"
Thelonious Monk - "Thelonious In Action"
Bill Evans - "Portrait In Jazz"
Charlie Parker - "The Complete Dial Sessions"
Dexter Gordon - "Go!"
Louis Armstrong and King Oliver (find the Heritage Jazz CD)
Wynton Marsalis - "Standard Time, Vol. 1"
Pat Martino - "Think Tank"
Sonny Rollins - "Tenor Madness"
Marcus Roberts - "The Truth Is Spoken Here"
Duke Ellington "The Best of Duke Ellington" (this is a good sampler)
http://www.amazon.com/Best-of-Duke-Ellington/dp/B001OX7KQ4/ref=dm_ap_alb2?ie=UTF8&qid=1278882264&sr=301-1
I can't imagine them without these, either, but you might want to listen to these after you've acquired a taste for the genre. These recordings are far more avant garde and a bit "out there."
Yest, they're all fun to hear, especially the Sun Ra set.
Cecil Taylor - "Unit Structures"
Ornette Coleman - "Free Jazz"
Eric Dolphy - "Out To Lunch"
Sun Ra - "Live At Montreux"
That should get you started.