I dunno if I can limit this to 10 as an old guy who grew up in arcades but I'll try...you will notice my list is likely gonna be old coin machines or PC games though LOL I won't give an exact order outside of the top 2..
1. Galaga. In my younger days I could play this for hours and it would NEVER get old. For nostalgia sake I can fire it up via an emulator and relive my youth.
2. Perfect Dark - N64. Me and my friends would literally sit around for hours playing this in 4 corner split screen while adding in AIs for shiz and giggles. Fist Sim, Kaze Sim and Peace Sim were our favorites because they would just go nuts punching you. I have vivid memories of us turning this into a drinking game and being completely hammered and pissed off at Fist Sim for beating us down repeatedly.
now in no particular order...
Centipede
Dig Dug
Bases Loaded on NES
Super Mario Brothers - Original
Civilization V
Command and Conquer Red Alert 2
Starcraft
John Madden Football
Thinking about this I don't even know if I could put Destiny in the top 50 tbh.
English
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Oh I just watched the Game Grumps play Dig Dug 0_0 those rock kills are satisfying. Centipede and Memory were all I would play on my parent's old cell phones :D still awesome to play