Factual error: When everyone went up in the hot air balloon the sun and the moon are both visible. The illuminated side of the moon is facing in the wrong/other direction from the sun, which doesn't work.
Continuity mistake: When Mr. Rabbit says "Rabbits love carrots," there are 3 carrots on Peppa's plate. When George eats a carrot in the next shot, the carrots disappear.
Continuity mistake: When Peppa is singing, George is next to her. But in the next shot, he is with Mummy Pig and Miss Rabbit. Also, one of three characters disappear in the previous shot. And after Peppa is singing, everyone is gone, but they reappear when they all laugh. (00:02:09 - 00:03:03)
Continuity mistake: When all the children greet Emily Elephant at the beginning, Madame Gazelle is next to her. But in the next shot, Madame Gazelle is gone. (00:00:37)
George Catches a Cold - S2-E20
Continuity mistake: When Peppa and her family come inside the house because of the heavy rain, the door behind Daddy Pig is open. But a few seconds later, the door is closed. (00:01:01)
Suggested correction: This doesn't occur between shots, and the 2 screenshots are not consecutive changes. The "few seconds later" is an 8-second close-up of George as he begins to sneeze, and the front door is not visible. Within those 8 seconds off-screen, there's time for the door to be closed and to set aside the two umbrellas.
Continuity mistake: They don't have teeth until they go to the dentist.
Suggested correction: We can see Peppa and George's teeth when Peppa asks George if his teeth are clean like hers. This is before they are at the dentist.