Professional Tetris player Willis "Blue Scuti" Gibson became the first person to "beat" Tetris some three decades after its original release by playing the game's most extreme...
A 13-year-old is the first human to beat Tetris | Numerous theoretical milestones remain::undefined
This person did it by playing it until it crashed. There are several points where particular actions will crash the game.
I would argue though that to beat Tetris you would need to beat level 255, at which point the level counter wraps to level 0