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Your question is a bit vague. A game like HeroQuest can be seen as RPG Light with limited rules. (And you could use the props with other RPG's). A game like Aye Dark Overlord doesn't have a GM, but there is one player (the dark overlord) that needs to be pleased by the other players. So there is a bit of a narrator.
I think games like Descent is what you're looking for. It's a boardgame where a GM plays against a group of adventurers, and you can add as much roleplay as the group sees fit. If Star Wars is your thing, Imperial Assault is basically Descent re-themed.
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