You can certainly run a single circuit out to your shed but as you may know, when you have electric in a outbuilding the gears start turning and next thing you know you are setting up a "Man room"
If it were me, put a sub panel and run some #8 for 240 volts and 40 or 50 amps (depending on wiring method)
If you still just want only some lights and do the KISS method, I suggest running some 12/2 UF and ground fault protect it. Then you only have to bury it 12"
If you don't mind digging, then run some 12/3 UF and place a small two circuit sub panel. One for lights, one for power. You will then need to dig 24"