My Ding-A-Ling

oh, and Too Much Too Young

Has something of a track record - the Queen EP with Somebody to Love on it and his duet with John Elton on I Won't Let the Sun Go Down on Me both went to no 1.

...but the two artists I always think of for live songs making them a name are Peter Frampton and Cheap Trick.

and the accompanying No Woman No Cry single must have done alright surely?

..recorded live, with Lemmy's vocal added later?
(Don't know if it got to Number 1 tho..)

Too Much Too Young was the lead track from a Specials Live EP, which made number one in 1980.

but Coming Up by Paul McCartney and There Is A Light That Never Goes Out by Morrissey immediately come to mind as live tracks that did well in the singles chart.

to tell it is a must...