Father Time! / Apartnership! - S1-E4
Plot hole: Timmy uses his heat vision, that he previously wished for, to win the race for his future dad. But it's revealed later in "Smarty Pants" that if you use a previous wish in a contest, it is magically taken away because it's cheating.
Suggested correction: That is true, that rule was mentioned in a later episode. However in the episode Christmas Every Day, it was revealed that new rules could be added at anytime. So it's possible that the rule simply didn't exist yet. Although, this plot hole may apply to any episode released after "Smarty Pants."
Father Time! / Apartnership! - S1-E4
Continuity mistake: When an 'angry' Wanda throws a styrofoam picture of Cosmo and Wanda on the floor near Cosmo, it breaks, but some shot later, both pieces are gone.