Continuity mistake: On "One Krab's Trash", when Mr. Krabs draws a ghost on a sheet of paper, it shows before it goes into Spongebob's rooms that there's only writing on one side (i.e. the ghost) and when it goes into his room, a shopping list is on the back.
Other mistake: In 'The Snowball Effect' when Squidward attempts to make Patrick and Spongebob resume their snowball fight he throws a snowball at them which they avoid, and it puts out Squidward's fire inside. Squidward had his back towards his house and threw the snowball in the opposite direction.
Character mistake: In the beginning of "One Krabs Trash" Spongebob only has one bill in his hand, a 5 dollar bill. When he goes to his house and comes back, he says he found 68 cents. Therefore, he has 5 dollars and 68 cents. However, he has two dollar bills and a few pennies in his hand, which cannot be made into $5.68.
Continuity mistake: In "One Krab's Trash," after SpongeBob discovers the drinking hat at Mr. Krabs' yard sale, the two straws are connected to a cylinder with a hole. But when Mr. Krabs says "You were born to wear this hat!" the little cylinder has vanished. Later when SpongeBob is blowing bubbles, the cylinder has reappeared. (00:02:25 - 00:05:00)