The best studio popular music recordings I can think of from before 1967 that are over eleven minutes long are "East/West" by Butterfield's band, "Two Trains Running" by the Blues Project, and "Up In Her Room" by the Seeds.

https://www.youtube.com/watch?v=78EJupll7vU

https://www.youtube.com/watch?v=vGCcnRPONp8

https://www.youtube.com/watch?v=Ntgyy65cGCI

Benny Goodman was a pop star when this classic was recorded:

https://www.youtube.com/watch?v=0NigiwMtWE0