Merry Christmas Mr. Bean - S1-E10
Continuity mistake: Mr. Bean puts Christmas cards in envelopes, then seals each envelope by licking each flap. Then he puts the envelopes through the mail slot in his door, pretending that someone else mailed them to him, which is funny. Then he opens each envelope just by unfolding the flap instead of tearing open the envelope, that means that each flap had not been sealed.
Suggested correction: There is only a few moments between Bean licking the envelopes and then posting them to himself. Obviously the glue on the envelopes hasn't dried yet.
If the envelope Mr. Bean had opened were actually the envelope he had licked, then some part of the glue would have stuck, even though there were only a few seconds between licking, mailing and opening, so we would have seen him have a little resistance from the envelope when he opened the envelope. Also, he licked only one envelope, but he mailed three envelopes, so presumably prior to him coming home in the episode, he had licked the other two envelopes. Because he licked one envelope, it is reasonable he would have licked the other two envelopes earlier.
Continuity mistake: Just after Mr. Bean's hand is stomped on by one of the boys, and he lets go of the diving board, the camera pans back to show him falling into the water, but the same shot shows no-one else standing on either of the diving boards. The two boys should have still been standing on the higher one.
Suggested correction: This is only an error in the "widescreen," aka cropped version of the episode. In the original 4:3 edit, you can see the two boys at the top of the screen, but the "widescreen" shot cuts them off.
And even then, the boys' legs are still visible in the widescreen version.