Much depends on the board you are connecting to. Primarily, the number of channels and the interface.
I habitually record multi-tracks of the few bands I do the sound for. Primarily folk/jazz music where 8 channels suffice, and use an oldie but goldie, the Korg D-888. If pushed, I can also use it as the desk itself. It records 8 channels on a hard drive at 16bit/44.1kHz. The HDD provides 32 hours recording. Design compromise is in the the desk part. The input amps adjustment is a bit coarse. When used purely as the recorder, I take an output from the desk inserts via a custom loom. My main desk has onboard compression and effects, so I tend not to use the inserts. If I need them, I have to get a little creative with the wiring. I'm actually working on this at the moment because my next job needs 9 inputs, so have decided to combine 2 vocal mics to one input. The 2 users merely use the mics for introductions, so I'll get away with it. I'm sure others have more complex arrangements they can explain.