What if classical composers such as Bach or Beethoven were transported into the latter 20th century and had to make a living playing in modern "Classic rock and pop" bands? What sorts of band names might we see? Here are some of my suggestions:

Alice Couperin
Electric Liszt Orchestra
Lynyrd Stryvynsky
Bach Sabbath
Gershwin, Lake, and Palmer
Scott and Janis Joplin
Van Haydn
Bruce Rubenstein
Guns and Rossini
Harry Chopin
The Faure Seasons
Barbara Straussand
Jimi Handel Experience
The Griegful Dead
New Riders of the Purple Saint-Saens