We start at the ceiling and work your way down, vacuuming and mopping should be done last.

Remove cobwebs (clean all corners)
Cabinets (wipe down damp towel)
Clean and dust Range hood
Clean range top, drip pans, burner grates, and control knobs
Dust shelves and baseboards
Clean all appliances (no streaks)
Empty and clean coffee maker
Dust and wipe down tables and chairs
Clean, scrub and sanitize all sinks
Clean and sanitize countertops and backsplashes
Clean the refrigerator top and exterior (door ice and water dispenser)
Clean microwave oven inside and out.
Clean out pet food bowls
Mop floor
Empty all trash