How do you clean painted cabinet doors without damaging the finish?

Warm water, a drop of dish soap and a soft cloth, then dry immediately. What ruins a painted door is not dirt, it is what people reach for: anything with ammonia, bleach, citrus oil or a magic eraser will cut through the topcoat and leave a dull patch that cannot be buffed back. Grease around the cooker needs dwell time rather than abrasion. Wipe it with the soap solution, wait a minute, wipe again, and dry it off.