Surely stop then vacate?
No, sir - vacate then stop (all being well).
High speed turnoffs are good for this - although you do NOT have to be going at a high speed to use them - indeed, normal speed (?) turnoffs are just as useful.
Depends on the nature of the incident. The runway incursion/door opening (whatever), may suggest get off the runway and start the taxi back without wasting too much more fuel. The 737 fire at Manchester, so many years ago, may (with hindsight) suggest stop and don't vacate.
Stop and then vacate doesn't seem to work smoothly for anything that immediately springs to mind.