Answer:
Here are a couple examples:
Trackmania Nations Forever (holds record for most players online on a single track: 250. There is one server attempting to destroy that record a few days from now: 400 players.)
Project Torque (you start off with one of four base cars and build it up by tuning, etc.)
Upshift Strikeracer (combat-based racing)
I highly recommend Trackmania Nations Forever, though the other two are also high on my favorites lists and recommend that you try them too.
Well actually Upshift Strikeracer is really good. A good Nintendo game is Mario Kart.