Continuity mistake: When Midge is doing her makeup routine, she doesn't have eye liner, then she does, then she doesn't.
It's Comedy or Cabbage - S3-E5
Continuity mistake: When Midge descends the hotel's grand staircase, the piano player and guests are below. Once down the stairs, Midge finds Abe and Rose sitting in chairs with their luggage, just to the right of the piano, in front of a large pillar, with a round sofa behind. However, when Midge was walking down the stairs, the lobby looks different. The piano is in the same position relative to the stairs, but her parents and the chairs are missing and the round sofa is a different style and the shape of the carpeting in front of the pillar is also different.
Continuity mistake: When Midge and Susie go see Michael Kessler, one of the mugs on his desk keeps moving between shots throughout the scene.
The Disappointment of the Dionne Quintuplets - S1-E4
Continuity mistake: After Midge puts Joel's ornamental duck down for the final time before she leaves his new apartment, the position of the duck changes in the following shot.
Continuity mistake: While Midge's dad is questioning her about her new job, Midge starts buttering her toast with some jam. But in the following shot there is no jam on her toast.
Mrs. X at the Gaslight - S1-E6
Continuity mistake: The cookie that Midge trades Noah for a cigarette for keeps moving between shots.
Midnight at the Concord - S2-E5
Continuity mistake: When Benjamin is driving Midge back from the Catskills to New York City, he briefly is driving on the left-hand side of the two-lane country road (which is not a one-way).