My big band board is simple - 4 pedals.
Tuner
Envelope filter
compressor
octave
I've always got the compressor on. I swap between fingers, slap, and pick during a set and it's useful to smooth the very different levels out.
The octave and the filter are on when I need them. Usually one or 2 tunes.
My covers band board is far more extensive so it can cover everything from a simple clean Blues Brothers tune, to an FX laden Muse song. Synths, EQs, Fuzz-Wah, distortion, phaser, octave, filters, signal blenders etc.
But it's heavy, so only when I need it!