Here is a list of some typical songs played on saxophone. But more songs are played in a typical 2-3 hours performance.
Modern jazz
Moanin
Caravan
Cantaloupe island
Wave
Nuage
Summertime
Blue bosssa
Petite la fluer
St Thomas
Out of nowhere
My little suede shoes
Satin doll
Naima
Song for my father
Destinado
My little boat
Black Orpheus
Cherokee
A night in Tunisia
Stolen moments
I love Paris
East of the sun
Cheek to cheek
Nows Is the time
I cover the waterfront
What a wonderful world
On green dolphins street
As time goes by
Begine the beguine
Besame mucho
So rare
Take the a train
Yardbird suite
Take five
All the things you are
Mr pc
Body and soul
Stella
Moments notice
Giant steps
Donna Lee
Dolphin dance
Work song
Fine and dandy
Mercy mercy mercy
In a sentimental mood
Poinciana
Bossa Nova
My little boat
Brazil
Wave
Mas que nada
Dindi
One note samba
Corcovado
Desfinado
Triste
Agua de beber
Chega de saudade
How insensitive
Blue bossa
Black orpheus
East of the sun(bossa version)
The girl from Ipanema
Summer samba
Meditation
Latin Jazz
Mambo inn
Manteca
Afro blue
Samba pa ti
Sway
Besame mucho
Blue skies (latin version)
My little suede shoes (latin version)
St. Thomas
Miami beach rumba
Jazz Standards
Ces si bon
Begin the beguine
Nuages
Stardust
Body and soul
All of me
Someday my prince will come
Watermelon man
Misty
Night and day
Fly me to the moon
On the sunny side of the street
What is this thing called love
Just one of those things
Satin doll
Autumn leaves
Come fly with me
cheek to cheek
Limehouse blues
Summertime
As time goes by
Out of nowhere
What a wonderful world
Smile
Bluesette
April in Paris
Moonlight serenade
Tenderly
What a difference a day makes
Chereokee
Take the A train
When your smiling