I can sing and play keyboard to a reasonable degree. Regular features of my performances include, in terms of Beatles material:
Let It Be
Maybe I'm Amazed
Things We Said Today
Mind you, I'm probably going to drop HJ - because I never have a very enthusiastic audience for singing along! Actually, I got LIB just right for the first time when I last performed. Previously, when playing it, it never quite sounded right. I guess I was treating the song with too much reverence, I dunno. But I nailed it last time.
As for MIA, well, I sing it an octave lower. That way the high notes are easy!
Things We Said Today is a fave of mine because I do it so differently. I do a jazz-style piano version as opposed to the guitar pop-ballad of the original. Still slow, though.
Other favourites of mine for live performing are:
Every Breath You Take - The Police (a bitch to play but well worth it!)
I'm Still Standing - Elton John (possible my favourite to do live)
And a few others as well, but these two really do stand out.
Anybody who goes to see a psychiatrist needs their head examining.