Except for filaments, other circuits draw little current. Max can be 100 ma on a B+ line.
I would use 20 or 22 AWG for general radio wiring. Filaments may require 18 AWG. Be sure insulation can handle voltages found in tube radios.
European radios use smaller wire especially from antenna coils. Electrically it works but can be easily broken.
Norm
: I have seen a number of posts regarding the size of hook-up wire to use in restoration work. I know that I have used 24 AWG which can carry 1.93 amp. I have just removed a transformer from AJA (German, Grungig knock off)AM/FM/SW set that has power transformer with HV leads that are 30 AWG which can carry .477 amp. I realize certain circuits (heaters in particular)carry a couple of amps but what is the average current in the RF AF circuits? What would be the minimum size hook up wire that should be used?