In Lucy's room in her parents' apartment, Barry unbuttons the top few buttons of his shirt. In the next shot they're all buttoned again.
The cab that Lucy rides with the orange tree changes in one shot to the cab she rides later in the movie (note the cab number on the roof).
When Barry and Lucy are talking by the bar at the karaoke club, Lucy's hair is behind her ear/covering her ear between shots.
In the cab ride, Jo is riding in the middle, but she climbs out last, behind both women.
When Doug is proposing a toast, Lucy is holding her glass, but after a cut the glass is standing on the table and Lucy reaches for it.
In the Vivaldi concert scene, the second violinist's bow is nowhere near the strings (while he is supposedly playing).
In the scene on the boat where Luke pulls from the sea a fish that has supposedly just been caught, the fish dangles absolutely lifeless on the end of the line as opposed to violently flapping as it should.