So Near, Yet So Farfetch'd - S1-E47
Continuity mistake: When Team Rocket takes off in the boat, it sinks. Their pokeballs float away, and Jessie says "Arbok and Lickitung are floating away!" But she doesn't catch Lickitung until Princess Versus Princess (Season 1, Episode 52).
Suggested correction: It's because these episodes were aired out of order.
Continuity mistake: Takumi and Shingo both have their right hands duct taped to the steering wheel, as per the rules of the Gum Tape Deathmatch. During one shot of the race, Tak's hand is no longer taped and resting casually on top of the steering wheel as opposed to the right side of it.
Continuity mistake: When the girls first came out of the machine, they were actually just the size of insects, and the professor didn't need a helmet to see them, but when they was during the battle, he had to.
Winning Through Intimidation - S1-E15
Continuity mistake: Panik's Metal Guardian can be seen on the field several minutes before he actually plays it. (00:10:30 - 00:13:00)
The Origin of the Silver Surfer: Part 1 - S1-E1
Continuity mistake: When Uatu the Watcher is speaking to the citizens of Zenn-La, some shots show the Kree emissary standing in front of the Skrull emissary, while other shots show vice-versa.
Continuity mistake: In the episode "Fool's Gold" Debbie puts the fool's gold on top of the pail on her sculpture. The shot changes and it's gone, the next shot it's back.