^ How could I forget!? That song was all over the place in the '80s. I get a kick out of the audience in that video.
As for the Groovies, you're right - in early years they were more of a proto-punk/Stones-y band. Then after Chris Wilson joined and they recorded
Shake Some Action etc. they became more power-poppish.
From their proto-punky days, here's a live performance of "Slow Death" (a song later covered by The Dictators). The Groovies had a hand in shaping both punk and power pop.