Seeking some guidance on Sinatra

Hello. I don't know much about the Chairman of the Board -- his different periods, his changing styles, etc. Still, I know that some stuff sound great, at least to my ears, while other tunes leave me less than thrilled.

My question: The other day, out at a favorite lunch haunt, I heard Frank singing "Just One of Those Things." Man, the cat was smokin'. If I enjoyed that -- which I did, a lot -- could anyone point me to a couple of Sinatra albums on which I might find more of that kind of stuff?

Thanks very much.

-- Howard