NICE N EASY & HOW LITTLE WE KNOW keys C & F 3:35
Based on a LIVE Frank Sinatra TV Show, similar arrangements and a medley of 2 songs, same keys.
NOTE - this is a medley, not 2 individual songs, check out the youtube link.

MP3 DEMOS:
2 demos - demo 1 is Nice N Easy and demo 2 has the key change into How Little We Know:
M2675. NICE N EASY & HOW LITTLE WE KNOW - C & F demo 1

M2675. NICE N EASY & HOW LITTLE WE KNOW - C & F demo 2

Based on a live Sinatra TV show medley of 2 of his hits, similar arrangements. Check out the youtube link above.
My comment on the youtube video page:
What was more incredible with this live take is that he came in 4 bars too early, you can clearly hear the mute trumpets repeat the intro lines and the bass line and then Sinatra glances at the conductor to say oops!, the sax section looking at the conductor but the conductor nailed it right way.. Sinatra had the very very best musicians and most importantly the best arrangers and conductors to nail everything together. These two arrangements are pretty safe compared to other such classic arrangements but they just "sit" superbly and it swings so naturally.