Yeah, that reminds me of Warhammer (both 40k & fantasy), they have a stat for Strength and a stat for Toughness that are compared to each other. And a sliding scale of odds is calculated. It's if equal, it's 4+ on a six sided die that something happens. As Strength overpowers the targets Toughness the scale goes up, 3+ for 1 different, 2+ for any more. And the inverse for when Toughness out does Strength, 5+ for off by 1, and 6's for anything else. Success meant 1 damage, and models tended to have 1 hit point unless they were big or heroic, in which case they might have 2-4.
40k 5th ed (I think it changed for later editions), did something different for vehicles. It was Strength + a six sided die compared to an Armor rating. If the result was greater, than you rolled dice and consulted a table to see what the effects would be -- with the most often result being destruction of the vehicle. I think the weakest result on the table was a stun effect.