When Virginia and her husband are arguing about her mother-in-law, her hair is extremely disheveled and sweat-matted. After she puts her baby in the crib, she is shown to have perfectly styled and dry hair moments later.
During the conversation with Marty, Angie and their friends about how Mickey Spillane writes women, Marty's shirt is alternately unbuttoned/buttoned between shots.
The amount of Coke in Marty's glass changes between shots.
In the opening scene in the butcher shop, Marty is shown facing the camera and using a knife to cut between the bones of a roast (to make chops). He does not finish cutting all of the chops, but sets his knife down on the ledge of the counter to his right (our left). In the next shot, from the reverse angle (that is, with Marty's back to the camera), Marty again has the knife in his hand, and is cutting through the remainder of the roast. After he has finished cutting, he takes up a meat cleaver to complete the task of making chops.
The opening scene shows men in a bar in the middle of the afternoon. One patron says that the Yankees won both games of a doubleheader that day. However, even in the 1950s games took about 2.5 hours to play so it is unlikely that a doubleheader would have been finished by mid-afternoon when the scene is set.
When Marty and Clara are walking on the street on Saturday night, a woman approaches a "No Parking" sign, turns and waves to the camera.
When Marty is trying to talk to Tommy and Virginia on the porch before they all go to Mass, Marty and Virginia pass her son back and forth. As the baby's parents argue, the sound of his crying is heard, but when the child's face is turned toward the camera he clearly is content and quiet even as the crying continues.
When Marty and Clara step onto the bus, the shadow of the boom mic is visible on the bus as it pulls away.
When Marty rushes into the street to hail a cab after taking Clara home, he ends up facing the camera on the near side of the street, waving for a taxi while facing away from the oncoming traffic.