It only kind of counts but dead rising 1 fits. You have to follow an exact sequence of events, be at exact spots at exact times, or the main story ends and you can only get bad endings.
It’s actually really hard because you end up having to run from one boss to another and if you’re late there isn’t enough time to resupply. I eventually got to a boss fight where I didn’t have enough time to do anything else and I just couldn’t get past him. It isn’t that the game ends, but it just completely scaps the main story progression and says something like ‘the truth is lost forever’ .