Here's the follow-up to the earlier post in which Jason D'Angelo talked about my little diagramming habit. I'd planned to get this content into the comments there, but the games are so interesting and the diagrams are - I think - illuminating enough to merit their own presentation.
I'll also emphasize the point I make toward the end, that each game's diagram differs from the others in terms of what the rules refer to. That's a big deal.