The code prohibits general usage circuits from being greater than 20 amps. However, I do not believe that is what you are really asking. Given the loads you listed you could probably just use two 15 or 20 amp circuits.
Answers based on the National Electrical Code. Local amendments may apply. Check with your local building officials.
With a 60 amp feed, for example to a shed, you must run it to a subpanel where 15 and 20 amp branch circuits are then run to your lights and receptacles (outlets). To use a 20 amp breaker all the wiring including to the light fixture boxes must be 12 gauge or fatter. (The thin wires going into the fixture and to the lamp sockets are connected normally as-is.)
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