Continuity: Before Su Li-zhen bestowed her landlady with a electric rice cooker, there already was one sitting on the kitchen counter in an earlier scene.
Continuity: In room 2046, Chow Mo-wan is not wearing a tie when we first see him, but it is there a moment later when he has moved across the room to join Su Li-zhen Chan at the mirror. And he always wears a tie - except in this one shot.