What is Sugar Ray Robinson's best performance that we have footage of?

Good question. I don't have an answer myself so i will wait for someone else to chime in.

 

SRR vs LaMotta VI,while LaMotta managed to outjab him a bit, SRR employed his full arsenal and finally gets rid of the raging bull.

 

Randy Turpin 2. Youtube has partial video and Robinson looks like a completely different fighter from the first bout. Sugar Ray looks very fast, he's in and out, firing off flurries.
He also sets Turpin up by throwing vicious rights to his body to get Randy to expose his chin. It was there when he needed it. Round 10 Robinson fients/dips to throw the right downstairs but instead crosses it to Turpin's chin. That was the beginning of the end.
Turpin didn't look bad himself. He was quick and appeared to have exceptional strength at 160. His awkwardness worked for him.

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Hi Buddy.
Thanks for the upload, Robinson is on record putting Turpin up as the strongest he has fought, when you think of the vast amount of big strong fighter's that Ray has crossed gloves, that's pretty impressive, according to the scripters, Len Harvey paid a visit to the Turpin camp when he was preparing for the first bout over here, and noticed that Randy was displaying a degree of self doubt, understandably in the circumstances, Len took him to one side to emphasise that Robinson has 2 arms and 2 legs same as you, so he is human, he also told Randy to grasp Robinsons wrists' and forearms when in the clinches, and squeeze with all his might, it was a method Harvey had employed over his career, and he was convinced that as the rounds go by, the opponent's arms would lose their strength, and that would be detriment to them over the long haul, lest we forget title fights were 15 rounders in them days, so yea Turpin was built.
stay safe ETM, chat soon.
Mike.

 

Second to Maske v Barkley, but yes, outstanding none the less.

 

I know this footage is only 2 mins, but I think it nicely encapsulates his peak form:

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The left hook that ended Fullmer was insane.

 

see here.

 

Easily Lamotta VI

 

LaMotta may be his most complete performance on film, but I'm skeptical of whether he was still @ his physical peak then. Based on what there is to see & read about him, I think he peaked around '46-47.