Some of my favourite systems are light on combat rules or feature combat as some kind of fail state. If you're leveling a shotgun at an ancient void-dweller that may or may not be immune to conventional weaponry, you've messed up somewhere. Maybe the better plan is to douse the floorboards in lamp oil, smash a lit lantern, and run.
Would I play a game with no combat items? Absolutely. I'd love a game that invests as much pagespace into intrigue or stealth systems as some D&D-like systems invest into combat.