Thanks for sharing your memories Aqua!
Your diary is indeed accurate about The Stones taking over the show. An online log shows that Bill Wyman introduced a British band called The Preachers.
Ready, Steady, Go: Show #110 -- 10-Sep-65 (Friday)
--Goldie & the Gingerbreads
From another source:
--The Rolling Stones (taped 2-Sep-65) - "Oh Baby (We've Got A Good
Goin')," "That's How Strong My Love Is" and "Satisfaction"
--"Mime Time" parody with the Stones, Andrew Loog Oldham and Cathy
miming to "I Got You Babe."
--The Preachers (a British band) (introduced by Bill Wyman)