As an unaccompanied floor singer at the local FC, I've done

Don't Think Twice, It's All Right
A Hard Rain's A-Gonna Fall
Subterranean Homesick Blues
Mr Tambourine Man (the full version, natch)
Like A Rolling Stone
One More Cup of Coffee
No Time To Think

and, accompanied by my friend Mark,
Visions of Johanna

Hard Rain and No Time were both delivered more or less as poems. I did Hard Rain on a "Dylan Night"; I got through the verses, spoken, in three minutes flat, then let rip on the very last line, which is of course

...And I'll know my song well before I start singing

Then sang the last refrain, accompanied by the entire audience. Magical.

Near misses: I've worked up Girl from the North Country and Idiot Wind for performance, but never actually sung them out. I recorded Percy's Song for 52fs, but it didn't come out very well.