Earn to Die is the upgrade game everyone remembers: you start with a battered hatchback, a strip of desert and a horde of zombies between you and the evacuation helicopter. You drive until you run out of fuel — usually in a few hundred metres — then spend what you earned running zombies over on a better engine, tougher wheels, more fuel and eventually a gun bolted to the roof.
The genius is the pacing. Every run gets a bit further, every upgrade visibly changes the car, and the moment the vehicle finally has enough of everything to smash through to the end is properly satisfying. Not Doppler published it and it defined the genre for a decade.
Upgrade in the right order — fuel first, then engine and wheels, then armour and weapons — until the car can cross the whole stage in one run. It's designed so that no single run finishes it early; the progression is the game.
Fuel capacity, early on. Distance is limited by fuel more than by anything else at the start; once you can reach the end of the map, engine power and wheels take over.
Yes — a 2D physics game with two-key controls and nothing to install.