Continuity mistake: When SpongeBob accidentally reveals the location of the formula, Plankton drops the feather he is holding and lands in front of him. The feather remains on the floor, but when Pearl walks into the kitchen, the feather has suddenly vanished, and reappears in front of Plankton in the next shot.
Continuity mistake: When Plankton is telling Karen, "There's a whale in the laboratory," he is jumping up and down with his arms in the air, but in the next shot, his arms are suddenly down at his side.
The Inmates of Summer/To Save a Squirrel - S5-E15
Continuity mistake: In "The Inmates of Summer", the campers that board the boat while Spongebob and Patrick are crying together throw confetti that lands on top of their puddle of tears. When the inmates start boarding in a few shots, a wide shot shows the confetti has disappeared and the next shot, which is closer, also shows the confetti to have vanished.
The Inmates of Summer/To Save a Squirrel - S5-E15
Continuity mistake: In "To Save a Squirrel", Sandy has oil stains all over her suit from working on her vehicle. After she is tackled by Spongebob and Patrick when they were chased by a grasshopper in two shots, the stains disappear.
The Inmates of Summer/To Save a Squirrel - S5-E15
Continuity mistake: In "To Save a Squirrel", Spongebob is slowly losing his mind in the mud replica of the Krusty Krab and he begins to make a fake Krabby Patty out of mud. He says he needs buns and suddenly two pieces of rock appear next to him that weren't there before.
New Fish in Town/Big Sister Sam - S8-E10
Audio problem: In "New Fish in Town", Squidward pops out of his door and says "the bassoon." When he says it, the words are heard, but his mouth movements are delayed.
Banned in Bikini Bottom/Stanley S. SquarePants - S5-E20
Continuity mistake: In Stanley S. Squarepants, when Squidward moves out of the house with all his bags he doesn't shut the door, but when the shot zooms out, it's shut.
Continuity mistake: In "Once Bitten", Mr. Krabs is holding a key, about to unlock the doors to the Krusty Krab, when a customer stops him. Two shots later, the key is missing from his hands.
Krusty Towers/Mrs. Puff, You're Fired - S4-E9
Continuity mistake: When the rocks fall out of Patrick's suitcase, the rocks change number and position between the 3 shots.
Continuity mistake: When SpongeBob scrambles into the Krusty Krab to tell Mr. Krabs the "good news", the doors swing wildly inward. When the two return outside and see the Flabby Patty, the doors have varied from being open inward, to being open outward.
Atlantis SquarePantis - S5-E12
Continuity mistake: When Patchy finds Encino to have shrank, he hits his peg leg against his foot. When Encino is being turned back into normal, he is wearing shoes on both feet.
Atlantis SquarePantis - S5-E12
Continuity mistake: When Plankton is placed in a jar, there is a sign that says "No Flash Photography" above him. In the next shot, this sign disappears.
A Flea in Her Dome / The Donut of Shame / The Krusty Plate - S5-E11
Continuity mistake: In "A Flea in Her Dome", Patrick asks Spongebob to get on Sandy's shoulders. Then, he climbs onto Spongebob's shoulders. In the next shot, they are suddenly next to Sandy's tree.
A Flea in Her Dome / The Donut of Shame / The Krusty Plate - S5-E11
Continuity mistake: In "A Flea in Her Dome", Patrick gets bitten by a flea and his chest is covered in bites. He takes out a pencil and connects some of the dots to make a horse. A few shots later, the horse and the bites disappear.
Patrick-Man!/Gary's New Toy - S9-E2
Continuity mistake: In "Patrick-Man", in the scene after Mrs. Puff gets arrested, the guy that SpongeBob serves the krabby patty to in the Krusty Krab is not wearing a T-shirt until the guy says "Lets hope Patrick Man doesn't confiscate this one," then he is seen wearing a white T-shirt. (00:08:00)
Continuity mistake: In "Sleepy Time", Spongebob is driving a car in his dream. When he starts to drive faster, he sticks his tongue out on his left cheek. When he makes a left turn in the next shot, it's sticking out on the right cheek.
Spongicus/Suction Cup Symphony - S6-E3
Continuity mistake: In "Spongicus" when Mr. Krabs and SpongeBob are outside looking at the "Chum Coliseum" and Mr. Krabs says "it's very suspicious" the tables inside the Krusty Krab are missing.
Jellyfishing / Plankton! - S1-E3
Continuity mistake: Plankton! When SpongeBob and Plankton are talking at night Plankton gives SpongeBob a golden spatula. When Plankton says he wants a Krabby Patty for his birthday SpongeBob drops it. Then when SpongeBob walks away, the spatula is nowhere to be seen.
Skill Crane/Good Neighbors - S4-E4
Continuity mistake: During "Good Neighbors" Squidward is sitting on his couch trying to enjoy his afternoon. SpongeBob and Patrick pop up behind him. In the next shot. Instead of Squidward sitting on his couch with Bob and Pat behind him, they are standing in the middle of the kitchen.
Help Wanted / Reef Blowers / Tea at the Treedome - S1-E2
Continuity mistake: In "Tea at the Treedome", in one shot, Spongebob's pants are inflated, and in the next shot they're not.
Answer: I believe this is the Season 6 episode "Spongicus".