I have the best memories with 1 + 2. That's high school days, with 3 friends, playing epic 50 turners, with bong hits to start and at half time (25 turns).
3 is actually REALLY good imo (better than 1 or 2) but I never got a true four player experience with it, and any true Party Player will tell you two player party is kind of a joke.
I skipped all the wii ones. I skipped any that needed a mic as well. I think I have one or two for the GC but not sure which ones...that should say something.
NO game caused such heated issues for my friends and I as the 64 ones. The Mario Party motto we coined was "Alliances will be made. Friendships will be broken".
People would show up at my house and reserve spots hours ahead of time for "tonight's game". The "fifth" guy was ALWAYS pissed. (but he got to play Bloody Roar in the corner on the PS so it was kind of OK)
Like TPA5, I have also seen some (light, in my case) physical violence result.
I have seen someone in a 2 v 2 game throw a mini-game to deny their own teammate enough coins for a star next turn. That someone may or may not have been me. We had BIG discussions on the "ethics" and "sportsmanship" of Mario Party that night.
I have seen someone decide to HELP someone ONLY to SCREW another player.
I also saw my buddy lose the game on the last turn via one of those SUPER cheap star swaps that can happen via ! spots. He got up, pulled out his controller, and walked out without saying a word. But he was back in a few days!!!!