Which music style suits most for an "Art-Deco" styled Cafe?

That's tough because deco is a style of art, not necessarily something that is tied to music. I would think something from that era, maybe something early 20th century. Not quite jazz, not quite swing. I really can't think of anything that really says deco to me musically. 20's big band mixed with some early jazz. To be honest big band and some Sinatra style music would probably work. Throw in some old style blues like Johnson and some early jazz and you'd be set. You just need to set the atmosphere, not necessarily recreate the deco times.