He performed with The Airmen of Note, the Glenn Miller Air Force Dance Band, and Lionel Hampton.
Dick Johnson, when in charge of the Artie Shaw Orchestra, said Snyder was the best musician playing at the time.
At thirteen, Snyder appeared on Horace Heidt Amateur Hour in Terre Haute[5] and by age fourteen he became a featured player with the Indiana State Legion Band.
[3] While in high school, Snyder won the All State Indiana Music Contest for four years in a row.
[10] As a studio musician he played with Branford Marsalis,[9] Count Basie, Marvin Gaye, Dave Brubeck, Johnny Mathis, Otis Redding, The Jackson Five, Tito Puente,[8] Diana Ross, The Temptations,[7] Mickey Gilley and Red Sovine.
[3] Songs he appeared on included "The Tears of a Clown" by Smokey Robinson, "You Are the Sunshine of My Life" by Stevie Wonder,[9] "Knock on Wood" by Eddie Floyd and "Soul Man" by Sam and Dave.
[3] In 1971[4] Lionel Hampton asked Snyder to join his orchestra, and they toured Europe, including countries under Communism.
[4] Jim Beal Jr. of the San Antonio Express-News said Snyder "can swing with the best and then touch the flint-hearted" with "Amazing Grace".
[4] He also said Snyder "moves easily from New Orleans jazz standards to Artie Shaw classics, from Christmas carols to spirituals, all without missing a beat or finding anything strange about the varied repertoire.
[3] Because of the recording, Joe Lacina started playing Snyder's music on his Dance Party show on Stardust radio network.
Snyder became Honorary Mayor of San Antonio, Texas when he visited and performed for injured military troops.