A saxophone quartet generally is made up of a soprano saxophone, an alto saxophone, a tenor saxophone, and a baritone saxophone. It can also have two altos, one tenor, and a baritone. Occasionally they will use bass saxophones or other varieties even.
Arrangements have been written for many jazz pieces and classical pieces. Here are two videos of saxophone quartets.
Above- World Saxophone Quartet playing ‘Hattie Wall’
Rhapsody in Blue by Gershwin