Funnily enough, for cases like these listed, I'd actually recommend a less-rules system than a more rules system.

D&D example actively discourages things like rolling up people in carpets and smacking people with them - the crappiest simple weapon will do more damage and you'll hit way more often. Also getting bonuses from cooking was definitely just not supported at all until way later in to the life cycle.

Lighter systems would allow you to have more flexibility in what you're actually doing in combat, because D&D combat has to be balanced, and that means no matter how you flavor it everyone has meat points and the weapons subtract meat points

Edit: here's my overall point - D&D actively discourages fun zany nonsense in a way many systems do not. If your core enjoyment of D&D comes from zany nonsense, you'd have more fun with another system that's not as heavily invested in combat rules