Born in 1953, Allan Vaché grew up in Rahway, New Jersey. While at Jersey City State College, Allan studied with David Dworkin of the Metropolitan Opera Orchestra, as well as independent studies with the famous jazz artist Kenny Davern.

During that same period, Allan also performed many professional engagements with such jazz greats as: Bobby Hackett, Wild Bill Davison, Pee Wee Erwin, Gene Krupa, Dick Hyman, Max Kaminsky, Clark Terry, Dick Wellstood, Ed Hubble, Cliff Leeman, Bob Haggart, Jack Lesberg, Lionel Hampton, Bob Wilber and many others. He also made numerous appearances with his brother, famed jazz cornetist Warren Vaché Jr.

In late 1975, Allan joined The Jim Cullum Jazz Band of San Antonio, Texas. The band traveled extensively in Europe, Australia and Mexico, as well as making many festival appearances throughout the United States. Allan recorded nine albums and CDs with this band, including the only jazz CD of the entire score of Porgy and Bess, released on CBS Masterworks records. Allan and the band also made several concert appearances of Porgy and Bess — many featuring opera great William Warfield as narrator — throughout the Western Hemisphere, including The Kennedy Center in Washington, D.C., and The Cervantino Arts Festival in Mexico City.

Allan and the Cullum band appeared at several "World Series of Jazz" concerts in San Antonio, alongside such jazz luminaries as Benny Goodman, Pete Fountain, Joe Venuti, Teddy Wilson, Scott Hamilton, Bob Wilber and many others. He also appeared with the band at Carnegie Hall at the "Tribute to Turk Murphy" concert in January 1987.

Allan left San Antonio in late summer 1992 to pursue a freelance career. Since that time, he has appeared as a solo performer at jazz parties and festivals around the country and abroad. In 1993, Allan moved to Orlando, Florida, to perform at various attractions including Walt Disney World, Church Street Station and Rosie O'Grady's.