Continuity: When the kid rescues Bud from his former owner, Buds paws become all muddy when the faucet breaks.  In the next scene they are running down the road and Bud's paws are clean.

Continuity: During the basketball game at the end of the movie watch the time on the scoreboard. One view of the score board shows 30 secs and the next view of the kid dribbling down court with the scoreboard in the background shows like 10 mins left.