Every aircraft I've ever flown has had a checklist which has included a re-start check, always to be memorised. It's different for every aircraft.
I do agree with you, though, about checklists that don't "flow freely", and when I move to a new type I often re-order the items in the re-start checklist so that they're easier to remember. My own personal preference is to do one or two things which are particularly likely to fix the problem first (e.g. my Europa used to have a problem with fuel filter becoming blocked, so my first reaction on hearing any sign of rough-running would be to hit the reserve fuel pump switch, which routes the fuel through a separate filter), then to work left-right through the cockpit, and then to return to the starter switch/key. Obviously this is very type-dependant, though, and there might be good reasons why this might or might not work in any specific type. Do make absolutely sure, though, that you cover everything in the checklist which comes with the aircraft.
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