Wasn’t just Clapton in the Bluesbreakers, but the late Jack Bruce too. Just like it was not just Peter Green, but also Mick Fleetwood and John McVie in that band.
Also featured in this band were Mick Taylor (more famous for his stint in the Stones), Aynsley Dunbar (too many to count, including Zappa’s band, Journey [original drummer], Jefferson Starship, Jeff Beck et al), even Patti Smith as a backing vocalist.
List of John Mayall Band members by year
Wow, Lots of very familiar names!
And yeah, Jack Bruce played bass on a couple of tracks on the album with John Mayall. One could argue that it led to the band Cream, which was the next stop for both of them.
When Peter Green was in the band John MacVie was on bass and Mick Fleetwood played drums on a bunch of tracks. Green decided to form his own band and he wanted Fleetwood and MacVie to come along so he names his new bad after them and THEN asked if they would join the band he named after them, Fleetwood Mac. Then Mick Taylor replaced Peter Green in the band, until the Rolling Stones came calling for him.
So right there you have Cream and Fleetwood Mac directly tracing themselves to Mayall and obviously he was an influence on the Stones as well. Bottom line, everyone in the British rock scene was listening to everything Mayall put out and then incorporating it into their own bands.