Star Fox 64

3D rail shooter. You pilot a ship dubbed 'Arwing' and fight alongside your fellow co-pilots as you defeat enemies and bosses on your way across the Lylat system, leading up to the final battle with Andross, an evil bent scientist who has declared war on Lylat. Depending on choices you make or certain objectives that you can meet, your path from your beginning planet (Corneria) to the final level (Venom) can differ greatly from game to game. Not tomention a good ending, and a bad ending, depending on which path you take before reaching Venom. Also, great multiplayer 3D dogfighting.