Ry Cooder comes to mind given the line up in some of his many guises

Tom Waits is just wonderful always - I sing 4 or 5 of his songs and just think he's great

Could play Crocodile Rock too but not sure you'd want to

Roxanne by the Police perhaps

Little Wing - Hendrix

Anything with a Tex Mex flavour

Maurice Chevalier or something French?

Where do you go to my lovely. Perhaps not

Can the piano accordion play jazz or with a jazz feel?

Sky's your oyster
World's your limit