I would argue that many games, perhaps even a solid majority, need more than a few minutes to assess their worth. Not to mention the issues you might have staying objective as part of this -- many a reviewer has spoken of the trouble of doing one or two reviews a week for something, especially games, and remaining objective*.
*doing this may also change your opinions on games themselves as you will be forced to compare and contrast things you have already played. Or if you prefer see why many film critics eventually trend towards more arthouse/offbeat stuff.
"Original game", such a thing would be rather in line with viewing history as a "great man" history and ignoring the 10000 people that stood at their back, and all the forces that conspired to enable 10000 people to not be working in the fields to make enough food to survive. If you want to see progressions in game concepts then mods are absolutely where you want to look as well, especially if you care about multiplayer as part of this.
Officially published also means very little outside of the NES, SNES, master system, megadrive, playstation.... stuff -- the Amiga was floating around at the same time as those, indeed several games from said other consoles appeared on it and were the superior versions of a given game (
http://retro-sanctuary.com/Comparisons Main.html ), but had no official publishing policy as locked down consoles is not a concept that dates back to the dawn of them. To sell a PC game requires you to be able to take payment and send the game somehow, ID (they of doom and quake) also did things oddly*. Also what about things like
http://nescollector.zamaman.com/?p=20
* all your history has a good intro to all
There is certainly scope to do something interesting here, historians of games in the sense you are heading for are few and far between, but for it to be exhaustive would be a near insurmountable task on a whole host of fronts. If I had to do something like I would find top ? games lists from that year, looking back at the end of a console's life, one from now, follow developers/publishers if you can (many games, even until the GBA era, went uncredited, to say nothing of things like
http://www.destructoid.com/uncredited-l-a-noire-devs-speak-out-202757.phtml ), find interviews with devs and see what influenced them... basically all the things that music, written word and moving picture types do as they face a similar set of problems. By all means sprinkle a few random picks in there but exhaustive is never going to happen.