There are surprising number of big-band era standards that could work in a stretch, at least by title:

Stars Fell on Alabama
Stardust
How High the Moon
Moon River
Fly Me to the Moon
Only a Paper Moon (or should that be listed in CT?)

Then going a bit later,
Blue Moon


I occasionally play in a small ballroom-dance band, and the leader finds it amusing to hand me solo verses on most of these.