The following tunes are among those most commonly played by jazz musicians. I have made an attempt to categorize them based on how they are usually played. Most of the compositions are by jazz musicians, except for the ones marked “standard”.
You should try to become familiar with as many of these tunes as possible. Most of them can be found in the Real Book or in Chuck Sher’s books.
All Blues blues, modal All Of Me standard All The Things You Are standard Anthropology rhythm changes, swing Au Privave blues, swing Autumn Leaves standard Beautiful Love standard Beauty And The Beast rock Billie's Bounce blues, swing Black Orpheus Latin Blue Bossa Latin Blue In Green ballad, modal Blue Monk blues, swing Blue Train blues, swing Blues For Alice blues, swing Bluesette 3/4, swing Body And Soul ballad, standard C Jam Blues blues, swing Caravan Latin, swing Ceora Latin Cherokee swing Confirmation swing Darn That Dream ballad, standard Desafinado Latin Dolphin Dance modal, non-tonal Donna Lee swing Don't Get Around Much Anymore swing E.S.P non-tonal A Foggy Day standard Footprints 3/4, blues, modal Freddie Freeloader blues, modal Freedom Jazz Dance non-tonal Four swing Giant Steps swing The Girl From Ipanema Latin Goodbye, Pork Pie Hat ballad, swing Have You Met Miss Jones standard I Mean You swing I Remember Clifford ballad, swing I Thought About You standard If I Were A Bell standard Impressions modal In A Sentimental Mood ballad, swing In Walked Bud swing Joy Spring swing Just Friends standard Killer Joe swing Lady Bird swing Lullaby Of Birdland swing Mr. P.C. blues, swing Maiden Voyage modal Mercy, Mercy, Mercy rock Misty ballad, standard Moment's Notice swing My Favorite Things 3/4, modal, standard My Funny Valentine ballad, standard My Romance standard Naima ballad, modal A Night In Tunisia Latin, swing Nica's Dream Latin, swing Nostalgia In Times Square swing Now's The Time blues, swing Oleo rhythm changes, swing On Green Dolphin Street Latin, swing, standard Ornithology swing Recorda Me Latin Red Clay rock Round Midnight ballad, swing St. Thomas Latin Satin Doll swing Scrapple From The Apple swing The Sidewinder blues, swing So What modal Solar swing Some Day My Prince Will Come 3/4, standard Song For My Father Latin Speak No Evil modal, non-tonal Stella By Starlight standard Stolen Moments blues, modal Straight, No Chaser blues, swing Sugar swing Summertime standard Take Five 5/4, modal Take The "A" Train swing There Is No Greater Love standard There Will Never be Another You standard Up Jumped Spring 3/4, swing Waltz For Debby 3/4, swing Wave Latin Well, You Needn't swing When I Fall In Love ballad, standard Yardbird Suite swing