Continuity: In the scene when Laurie sees Amy painting in Europe, watch his hand carefully. During the shot that's the closeup on him, you see him take his cigarette out of his mouth and throws it on the ground. But in the next shot, when you see Amy in the foreground and Laurie walking towards her in the background, notice how he, once again, removes the cigarette from his mouth and throws it on the ground. Unless he picked the cigarette up from the ground after the first time he threw it...

Continuity: When Jo returns home from New York after she learns Beth is sick, she enters the room and Marmee stands up to hug her. When they hug, Marmee's arms are between them. In the next shot, they're around Jo then they switch back to being between them.

Other: In the scene where Beth visits the Hummel's house, the Hummel baby is supposedly crying because he is sick. In reality, the Hummel baby is crying because the Hummel mother accidently bends back the baby's foot, when she hands the potato that Beth gives her, to one of the Hummel daughters.

Continuity: When Friedrich talks to Jo in the hallway about her novel, you hear the footsteps of a man coming, and you see him stop right behind Friedrich. The camera cuts briefly to Jo, then back to Friedrich, and the man is gone. Given the acoustics of the hallway he had no chance to walk off secretly.