Dead Rising 1 is a masterpiece. I beat it on PS4 with Overtime included. Its one of the better Roguelites before I even know the term.
You can raise your stats, unlock more moves and die or fuckup your run, your character keeps growing stronger making subsequent runs easier every time. I fucking loved the planning you had to do because of the time mechanic and eventually you laugh about the psychos in the Jeep, because they're free points. In my opinion, the game doesn't even work without the timer as the urgency is what makes it so great. Sometimes you have to sacrifice people to get to an event in time, its about choices and efficiency.
I only hated the escort stuff, it didn't work. I hope if a remake comes, they buff their health and AI. i think the controls are a bit clunky as well, though Frank West isn't supposed to be a commando. The overtime mode didn't really work out well too, those parts were rather atrocious and the final boss was horrible.