If it were truly the list of the "most influential" games, we should see the earliest most unknown games ever that inspired the would-be programmers who made the slightly less unknown games which inspired the would-be programmers who made the slightly known games which inspired the would-be programmers to make great, fun games.
I mean, let's just be honest - what was the most influential part of the barn burning I held last night?
one match and a piece of straw
what influences the avalanch? what influences the tsunamis and hurricanes?
glad as heck to see chrono trigger on there, but what about FFIII? and what the hell is FFXII doing up there? where is dragon warrior I-V?
but, actually, now that I think about it - they never mentioned what the object being influenced was? we all assume it is the game industry, but they could mean "what influenced us as players".