Continuity mistake: As the boys are playing basketball at the Cleavers' house, Tooey is shown in the first shot without his glasses, but immediately in the next shot where he shoots for a basket, he is wearing them. Magical glasses, indeed.
Visible crew/equipment: When Aunt Martha enters the front hall, as June is leaving, the shadow of a mic boom is visible as she comes in and as she leaves. It's visible on the top left.
Continuity mistake: Beaver has a frog in hand when Wally is on the phone, then it is not there when Wally hangs up the phone. (00:10:35)
Continuity mistake: As Beaver and Wally are starting upstairs after Ward asks them to go change their shirts for supper, the camera cuts from a long shot of Ward across the room in a chair reading a newspaper, wearing a light grey suit, to a medium close-up of Ward wearing a much darker suit, and then back to the light grey.
Continuity mistake: When Beaver goes to Penny's front door, the door changes in appearance from one shot to the next. (00:23:05)
Continuity mistake: In the scene where Ward is waiting for the boys outside the movie theater, several kids are seen walking out of the theater more than once. A brunette girl in a plaid dress is seen walking out at least six times. (00:02:00)
Continuity mistake: While Wally, Beaver, and Eddie are talking about military school, Beaver is sitting inside a car tire swing, and depending on the shot, the tire's whitewall stripe either faces away from Beaver's front or his back. (00:17:25)
New Doctor - S1-E32
Visible crew/equipment: While waiting for the new young doctor to arrive, June gives Beaver the glass of orange juice and heads downstairs. When June walks back into the kitchen just as Wally and Eddie enter the back door, there are multiple curved chalk marks visible on the floor. (00:14:25)
Captain Jack - S1-E3
Continuity mistake: Ward jokes about the boys having two baths in three days, being some kind of record. It then cuts to the boys sitting on the floor in the bathroom, and we can see the hamper at the right with nothing atop it, but when Wally stands up to put CJ back in the "aquarium" the tank lid is lying on the hamper. (00:11:35)
Continuity mistake: June makes Ward go to school to talk to Mrs. Rayburn. She says Mrs. Rayburn was her teacher and still makes her nervous. In Beaver gets 'Spelled episode, June doesn't recognize the name of Mrs. Rayburn on the flowers. Ward says that the only Mrs. Rayburn he can think of is the principal at school.
Visible crew/equipment: Opening Scene: when Ward leaves the kitchen and comes pack in through the swinging door, you can see the shadow of the camera in the door just as Ward is coming back in.
Visible crew/equipment: When Beaver's class takes the intelligence test, a chalk T-mark is visible on the floor between the wall and Judy's desk. (00:09:40)
Visible crew/equipment: Early in the morning, after Ward and Wally go downstairs to check the trap June walks out of the bedroom (a funny June moment), and when Beaver rushes out carrying the baseball bat, the moving boom mic casts a shadow in the top left corner of the screen. (00:04:20)
Visible crew/equipment: While Wally and Beaver are at Sunday school, June and Ward go to the boys' bedroom to see how messy it is, and two chalk T-marks are visible on the floor where both Ward and June will stand. (00:21:10)
Visible crew/equipment: When Ward tells June he wants to take the boys to Friends Lake, for an overnight camping and fishing trip, as Ward heads for the staircase so he could tell the boys, he passes a piece of filming equipment which is visible at the right side of the screen. (00:08:25)
Continuity mistake: After Ward puts a new lightbulb in the fridge June stares at the mess Ward made, and the scalloped range hood vent is conspicuously missing, but when Beaver walks into the kitchen, the hood vent is back in its proper place. (00:17:10)
Visible crew/equipment: When a few of the kids pass the note from Linda to Beaver he puts it in his pocket, then it cuts to the class bell ringing, and there are multiple chalk marks on the floor where Beaver and other kids stand. (00:03:00)
Visible crew/equipment: When Ward enters the house June tells him she just got off the phone with Agnes Haskell, and the moving boom mic casts a shadow at the top of the screen. (00:21:45)
Visible crew/equipment: After Beaver is tossed out of the Blue Moon it cuts to Beaver walking up to Charlie, and the curved chalk actor's mark is visible under the desk, at Beaver's feet. (00:15:45)
Visible crew/equipment: Beaver asks June about some wealthy people in town, and when Ward walks into the kitchen, the moving boom mic casts a shadow at the top, left corner of the screen. (00:11:00)