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[Old Retro]

No.

10. Out Run 2
9. The Super Shinobi
8. Vanquish
7. Virtua Fighter 5 Final Showdown
6. Wonder Boy III (Master System)
5. Sonic the Hedgehog (Mega Drive)
4. Shinobi (arcade)
3. Phantasy Star
2. Bayonetta
1. Space Harrier

I'd pick that list with a few changes...

Out Run coin op
Shinobi coin op
Bayonetta
Phantasy Star (I've never played any of them but I recognize their impact)
Sonic the Hedgehog
Virtua Fighter
Nights into Dreams
After Burner II sit down coin op
Daytona USA
Streets of Rage 2

honorable mention (and better than IGN's shitty list)
Golden Axe
Thunder Blade sit down coin op
Super Hang on coin op
Wonder Boy
Alex Kidd in Miracle World
Power Drift
Michael Jackson's Moonwalker

 

[SF Kosmo]

Sakura Wars 4 is a bizarre choice, that game was more or less DLC that they sold on a disc at full price, like a third as long as the main games and mostly like a big crossover fan service epilogue.

 

[Trogdor1123]

Looking at their criteria wouldn't virtua fighter 2 beat out 4?

 

[Alx]

Looking at their criteria wouldn't virtua fighter 2 beat out 4?

Any episode from 1 to 4 would qualify imo (some would disagree for 3, but I stand by it ). I'd be ok for any episode appearing there, and there's only room for one.
Maybe one could say VF4 has been more influential on other games in the genre since most of them adopted its "kumite" mode, while the core gameplay of VF didn't make it to that many games.