The taxi cab Amy and Oscar take after leaving the restaurant (where they ate the tuna melt) changes from a newer model car they pulled over (and whose handle they broke), to an older boxier model in the cut scene with them driving away in the rain, then back to the same newer model they pulled over in the first place.
When Oscar has finished giving the speech, Amy gets out of her seat. In the next shot, Amy is sitting while everyone is still clapping, then she gets up and walks out.
In the scene at Amy's apartment, Oscar serves champagne in two glasses: one green and one crystaline. When Amy gets out of the shower, Oscar hands her the green glass. But in the next shot, when Amy and Oscar make a toast and lift their glasses, the glasses have been switched: Oscar holds the green glass and Amy the crystaline one.
Peter Steinberg: Oskie, I'm a professional. I went to graduate school. I did all-nighters my senior year. I did a semester in Egypt. Do you have any idea what toilet paper feels like in Egypt? I delivered cinnamon rolls on a truck with bad suspension for three years! Do you know what that does to your kidneys? My poor kidneys! My freaking kidneys! My poor freaking kidneys! My freaking, scarred, bruised kidneys!