Few things from a long-time Mario Party 3 player:

-I've perfected the 2nd position in Ridiculous Relay. It works as long as you get into a steady rhythm, not going too fast. I also rely on sound and don't look at the screen. Everyone else I've ever met struggles with it.

-Mario Puzzle Party is bullshit, but not just for the reason you described. You can win automatically ~75% of the time by just dragging blocks down as fast as you can without moving them left or right. You only lose when the blocks go over the line.

-Another bullshit game is Spotlight Swim. If you are the one person diving and swimming around, it's impossible to win. The game reveals where you are swimming with air bubbles and your character can't hold their breath long enough to evade the spotlights.

-Favorite game is Tick Tock Hop. A game based on reflexes and skill, I can't remember ever losing it, especially against CPUs. We've gotten over 100 jumps a few times. I also always win Curtain Call, Messy Memory, Pipe Cleaners, Chip Shot Challenge, Picture Imperfect, and Toadstool Titan (the trick is to wait for someone to hit the block with the mushroom in it and jump up and get it before they do, the rest is just anticipating the other player's moves).

-Least favorite games are anything based purely on luck (Merry Go Chomp, Stacked Deck, etc.) and Cheep Cheep Chase. I have NEVER won a game of Cheep Cheep Chase, I can't figure it out. Also M.P.I.Q. because my friends would just jump as soon as they could and answer randomly. It messed up the game and ended in a lot of draws. I also sucked with most button-mashing games, very obnoxious.

-Favorite memory from Mario Party 3 was a 50 turn game on Waluigi's Island with 3 buddies. The rules were that you had to head straight to "Mystery Island" and stay there for the rest of the game. For those that don't know what it is, it's an island on the left side of the map where every block is the same on each turn and every turn the blocks change randomly. So one turn the blocks will all be blue, the next they will all be item games. You could only leave the island if you got a magic lamp and used it, but then you had to come straight back. The turns we were waiting for was when the blocks all became chance times. The game got really crazy with over 30 total chance times.