Beauty and the Beat I'll give you...Vacation was nowhere near as good.
And Fanny influenced just as many bands after the Bangles, and were the first all-girl band to release an album on a major label. Fans don't know who they are, though, because unlike the Bangles, there was no MTV around to do PR for them for the masses.
“They were one of the finest ****ing rock bands of their time, in about 1973. They were extraordinary: they wrote everything, they played like mother****ers, they were just colossal and wonderful, and nobody’s ever mentioned them. They’re as important as anybody else who’s ever been, ever; it just wasn’t their time.” - David Bowie
When they released a reunion album, members of the Runaways, the Go-Gos, and the Bangles appeared on the record. Their cover of Marvin Gaye's "Ain't That Peculiar" is excellent.
Put them in before the Bangles.
You have to watch it on youtube:
https://youtu.be/imZUqkPlUaQ