StarFox 64 - Platform: Nintendo64

Glitch:
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This trick is tough to pull but if you do it right it usually works. 
On the hard Venom where you're fighting the StarWolf team, wait for one 
of them to chase you and then fly right at one of the pillars or the big 
dome in the middle. At the last possible second, pull the 'upside-down 
U-turn' move(the thing you do automatically if you reach the edge of 
All-Range mode). You'll automatically go through the pillar due to a 
quirk in the game, but the StarWolf guy chasing you will crash and die. 
Even if his life meter is full he'll die! Funny! 

Secret level:
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In the first level if you go through all the cement rings, Falco will 
say "Follow me fox!" and he will take take you through a water fall to 
fight a secret boss.