The most fun band I was ever in had two sax players---a tenor and a baritone. Great combination sound, heard on a lot of 50's Rock 'n' Roll records (Little Richard a personal favorite). The band, a Jump Blues/Swing combo, added a trumpet, and none of us dug it.
The worst fad in Rock was when hippie bands started adding a flute to their instrumental line-up. I was in one of those, too, and had to put my foot down. The bass player backed me up, so the flute was out. Too feminine. ;-)