I liked the Bike Chase minigame because it represented all of the characters on the top of the screen throughout the entire chase. I like events that incorporate every character into it rather than just one character. I liked the fact that it directly impacted your starting HP at the next boss battle, too.
I believe in the power of humanity.
it would have to be the chocobo races i didnt realise that if you hold the top buttons it slows the stamina gauge till i got a black chocobo the roller coaster game was alright as well
My personal favourite was the "Super-Dunk" basketball game (although there was very little "dunking" actually involved...). Getting into a decent rhythm was the key. There's nothing worse than getting to 150GP with a chance to "double-up" then dropping your last shot short...
I always played "Super-Dunk" on my first visit in order to get 300GP... then get the "Lifetime Golden Saucer Pass"... much better than shelling out 30'000 Gil for it next time you visited!