heck, I still play my ps2 splitscreen. It doesn't matter that we have to spend 15 minutes flexing the cable until it actually connects, when that little red light comes on I just light up inside, and then I realise that I have to stay perfectly fucking still or else it cuts off and we have to spend another 15 fixing it. There's still nothing better to date.
Goldeneye, NFSU2 and gta vice city(I know it's not 2 player) are the best things of all time.
Not forgetting of course, simulations, when you crash/knock the car, you basically get punched.