The reason you won't find a definitive checklist is that opinions vary greatly from person to person. What one person views as unquestionably necessary, someone else will state they've never used and don't think it's necessary.
The absolute bare minumus are, of course:
a Tank, a quality aquarium Salt Mix, Heater, Power Heads, Substrate, Hydrometer, quality test kits (exact kits are up to opinion and tank purpose), Lights (what kind and how much again depends on tank purpose) and, of course, water. It never hurts to have at least 2 or 3 buckets and a dozen or so absorbent towels
everything else is subjective and