Hi Xseven!
I know it has been a while since you posted, but I just joined this forum website a moment ago...
Here are some examples for your Jazz playlist. Jazz has many sub-genres, so I'll give you the widest variety I can think of. These are songs intended just for "chilling." I love all of these pieces.
-New Orleans Jazz-
Amen - Preservation Hall Jazz Band
Bourbon Street Parade - various artists
-Jazz standards-
Autumn Leaves - various artists
Stella by Starlight - Miles Davis
Any piece by The Rat Pack (Sinatra, Davis, Martin): My Way, They Can't Take That Away from Me...
Louis Armstrong is my favorite artist: What a Wonderful World, Mack the Knife, C'est Si Bon, Let's Call the Whole Thing Off (this is the song that popularized the phrase "Tomato, Tomah-toe, Potato, Potah-toe" )
Glenn Miller and his big band: In the Mood, Tuxedo Junction
Benny Goodman and his big band: Sing Sing Sing, Stompin' at the Savoy, Memories of you
Miles Davis: Summertime, All blues, So What, Someday my prince will come
Herbie Hancock: I like his Funk years - Chameleon, Watermelon man, Cantaloupe Island.
-Bebop- For those who don't know: Bebop is a fast-paced, energetic, highly technical and virtuoso Jazz style, popularized during the 1940s and 50s.
Dizzy Gillespie: Salt Peanuts, Caravan, Umbrella man
Fats Navarro: Going to the Minton's
Charlie Parker: Donna Lee, Now's the time, My Little Suede Shoes
This is a starting point
I haven't written about mixed genres such as Latin Jazz, European Jazz etc.
I hope you enjoy the music!