Simplicity is, I believe, evidence of the most advanced form of teaching.
Rule 1 - Fly the a/c - keep straight with rudder...etc
I have seen a few different systems over the years. One I really liked was favoured by Austrian Airlines many years ago:-
Power, Performance, Action
Power - Full power on the live
Performance - Reduce Drag - Gear, Flaps, Cowl Flaps etc
Action - Feather/Shut Down
Most of the other guff can wait till later - Crossfeed etc etc.