The Nebutori’s Tale has moments of this: scale breaking, car damage, and if you are over 200 lbs when you meet Grace, she can fall on top of you
In 
Insatiable Hearts [v0.22.0] - A monsterfucker+Weight gain Twine Game, if you join the cow cult, there is a bench and a bed you can break if you are heavy enough. I think there are more environmental breaking things planned, but not 100%