You should also look for modal jazz, it's a bit different from bebop but it's still nice (e.g. Kind Of Blue - Miles Davis or Olé - Coltrane)
Art Blakey and The Jazz Messengers - Moanin' (hardbop)
Coltrane - Blue Train, Giant Steps (bestbepob3v3r), Soultrane, My Favorite Things (some say it's modal, some not), Duke Ellington and John Coltrane, Coltrane's Sound especially "Equinox" and "Body and Soul" (excellentbop)
Julian Adderley - Somethin' Else, with Miles Davis as sideman
Miles Davis - Blue Moods, Miles Ahead, Milestones, Round About Midnight
Dexter Gordon - Go!
Charlie Parker - I'm not extremely fan even though he's a great musician and popularized bebop
Sonny Rollins - St Thomas (especially "Strode Rode") and Tenor Madness, his only duo with Coltrane
This is a non-exhaustive list of the most important, if you were afraid to miss something :P