Bob Alexander (1920-2012), also credited as Robert Alexander, was a trombone player who occasionally played on Sesame Street and albums. On the 1981 album Big Bird Discovers the Orchestra, he played one brief trombone spurt for the character Joan, before soloing for Stan on "Trombone Man."
A veteran of the big band era going back to the 1940s, Alexander played with Jimmy Dorsey, Artie Shaw, and Benny Goodman. As a studio musician, he backed Tony Bennett, Perry Como, Teresa Brewer, Frank Sinatra, Eartha Kitt, Sarah Vaughan, Aretha Franklin, and Lena Horne. He played behind the The Ray Charles Singers on their 1968 At the Movies album of film songs, and with Bob Haggart on his 1968 album Big Noise from Winnetka.
On television, Alexander played on The Steve Allen Show under Skitch Henderson, went with Skitch to the The Tonight Show, and remained in the band under Doc Severinsen. He also played on The Perry Como Show.