At its best, go-go dancing - popularised in the discotheques of the 60s - could look spontaneous and attractive, but I suspect that conventional choreographers tended to get hold of it for rehearsed performances on TV and film.
In reverse order of risibility:
#3 From the 1966 film Out of Sight, Freddie & the Dreamers perform Funny Over You, not a bad song by the standards of its genre, 60s British Hit Machine. (Okay, I just made up that genre.) The go-go routine isn't all bad, but here and there it raises enough of a smile to compete with Freddie, a fairly amusing chap himself. The reaction of the girl tearing the lining out of her hat(?) with her teeth at 0.58 is open to interpretation.
#2 This barely squeezes into the category, because Johnny Farnham's Sadie the Cleaning Lady dancers aren't strictly go-go girls at all. The choreographer has borrowed some moves from go-go but this owes more to classical and jazz ballet. For once, a comment at YouTube is quotable: This video is creepy and disturbing.
#1 Apart from its dated, hyperactive dance moves, this has an endearing antique amateurism about it, and even the great Billy Thorpe and The Aztecs seem to have been captured on an off day. To me, this is high comedy, up there with Ze Frank's How to Dance Properly: