Is there a specific checklist or procedure to follow, after a confirmed or suspected lightning strike on the aircraft?
Or is a basic scan around the cockpit (plane is flying, no warning lights, no circuit breakers popped) sufficient?
For the aircrew, at least in the aircraft that I've flown, there is no defined checklist. You scan and then deal with anything that occurs (inoperative equipment, pressurization issues, whatever you get) with whatever checklists apply: if the lightning knocked out a hydraulic pump, run the checklist for the inop pump, etc.
Once you're on the ground, maintenance has a HUGE checklist to work through, essentially checking every surface of the aircraft for damage and verifying that every piece of equipment still works. The more that the crew can tell them (i.e. radios & instruments unaffected, no equipment stopped working, pressurization normal, etc), the more of it they can sign off from the crew observation. But even then, it's still pretty lengthy.