Heh. Well, I was hoping our poster would give a list and his response isn't giving me a lot of confidence in his teacher, but since you asked...
You forgot one that bites people in the butt in Cessnas. Read on.
Make it a flow and you won't miss anything.
I'm a dolt so I keep it simple... You don't have or necessarily want to do them in this order, but it makes you LOOK and TOUCH everything.
Start on the floor...
Fuel selector valve. Both, or if it's on Both and not working, fullest tank.
Now move up. (The joke here is that you're done bending over and kissing your ass goodbye, time to fly the airplane. Ha. You got it over with early. Plus you need your eyeballs out to find your landing spot.)
(Prop full... Okay you don't have one of those...)
Mixture Rich. Or where-ever it'll run.
Throttle. Move it. See if it changes anything.
Carb Heat on. (Did the induction air get blocked? How can you get some air, even if unfiltered to this coughing engine? Is carb ice forming?)
Now there's where most people stop. Keep going left. Other side of the yoke...
Ignition/Mags. Will it run better on one mag? Find out.
Now keeping going left ALL the way across the lower panel... to the one that everyone forgets...
Is that primer in and locked?
You can cover all of them in a very quick single pass and come back or linger on one that helps ... but do them all. Every time.
As far as cowl flaps go, I'd ignore them unless a glance at the engine gauges showed a huge heat problem, but they're not providing anything the engine needs.
Fuel, Air, Ignition.
If your panel is different, in some other type, build a flow that moves a specific way across your panel.
Chair fly your flow a few times either on your couch or in the airplane on the ground. Do it that way every time.
It'd be embarrassing to land on a field somewhere and then realize you never touched the fuel selector on the floor.
Was the fuel just in the other tank?
Or see that primer sitting there unlocked?
Some people go the other direction on the flow. I can't see over the panel while reaching down to that fuel selector so I want that one done at altitude. So it goes first.
Plus the last thing in the Cessna is to pop the door(s). I'm already over there at the primer and probably out of time to try much else if I'm low, so the door can be added to the end on the left side.
If a passenger is along, that'll be enough to remind me to tell them to pop their door (or just reach over and do it) and tighten their seat belt.
And of course, time permitting, have that engine out checklist ready and run it. But you can accomplish a standard flow faster and have almost zero chance of missing something if you do the flow the same way every time.
It doesn't mean you have to make a particular change but you've looked at and touched every control that might be needed.
Plus that same flow can be used as a GUMPS check... Just add the gear handle/lights as you come up from the floor.
You can even get a gross trim for best glide done while you're down there checking the fuel selector, if you're feeling particularly "multitasky" today.
