Okay, my records (not all of them are the best ones as i restarted the games a bunch of times):
Speed: 513 with Togepi, Zubat and Quilava (125, 135, 188, +66) [Peak iirc]
Power: 509 with Steelix, Golem and Quilava (118, 183, 145 +63) [Peaked at ~530 iirc]
Skill: 557 with Hoothoot, Slowpoke and Zubat (200, 170, 108 +79) [Peak iirc]
Stamina: 565 with Steelix, Quilava and Golem (193, 145, 113 +63) [Peak iirc]
Jump: 459 with Hoothoot, Zubat and Togepi (150, 132, 121 +56) [Peak iirc]
Hurdle Dash: 85.3 seconds/134 total [Peak ~80]
Pennant Capture: 45 flags/135 total [Peak ~54]
Circle Push: 61 points/183 total [Peak]
Block Smash: 118 pieces/118 total [Peak 137]
Disc Catch: 75 points/132 total [Peak 93]
Lamp Jump: 527 points/150 total [Peak ~540]
Relay Run: 18.8 laps/188 total [Peak 20.0]
Ring Drop: 200 points/200 total [Duh]
Snow Throw: 101 hits/200 total [Peak]
Goal Roll: 14 points/170 total [Peak]
Comments of each of the events:
Hurdle Dash: Ugh, this was never an easy one, even when i did everything perfect it was still difficult to break through that record--I never did manage to beat it. Fun but frustrating when you have mons that land on hurdles ;_;
Pennant Capture: The bane of my existence. Easily the toughest challenge for me at the Pokethlon, I could never master the movement and I would always be bumping into other mons or missing flags, quite frustrating.
Circle Push: This one was always fun, although it took me a long time to break the record. Trying to fit three gargantuan Pokemon into a tiny circle was funny, as was pushing random mons off the stage for kicks in the early rounds.
Block Smash: This one was very consistent for me. I could never get the red and blue rings with any sort of frequency so my score would pretty much be 120, over and over again. Never found out a trick to beating it.
Disc Catch: This one was fun, but man the scoring system. Once you hit 50 points you might as well put down your DS. I got 90+ and was getting 5 more point than I was at 70, absolutely nuts. Solid experience overall though.
Lamp Jump: Eh, it was okay. Nothing special.
Relay Run: Pretty fun, standard concept. Once the pattern was identified it was pretty much just a job of not running into things, and getting 3 laps per mon per rotation meant a quick record.
Ring Drop: Pretty sure everyone loves this one, tons of fun. Took a while to master but once I got it it was smashing things errywhere.
Snow Throw: Ahh Snow Throw. The first time I played this I swear i got 10 points, thats how difficult it was for me to figure out. Then i start to pick it up and boom, 200 points everytime, even getting over 100 hits once.
Goal Roll: I really loved this one. Beaing a soccer player it was just so much fun for me. I'd usually keep two guys guarding my goal and send one attacker out after the ball during the delay after its been kicked. After the initial rush for a ball the AI's stop for a few seconds so its pretty easy to get free goals. And of course once one of them gets tired he just swaps out and becomes a new defender. Almost always managed high scores in this one, although rarely i'd get fours after getting haxed.
overall this is my favourite side game of the series, edging out contests. Lots of concentration, hand-eye coordiation, good rewards and just generally an excellent time waster.