Continuity mistake: When the Tumbler leaps toward the steeply-angled rooftop (the shingled roof with dormers), beyond it is a tall office building on the opposite side of a highway that is running perpendicular to the Tumbler's direction of travel (and parallel to the face of the office building). In order to leap onto this highway, the Tumbler will need to make a hard left or right turn, as going straight will take it across the highway into the face of the office building. But as the Tumbler reaches the end of the angled roof, suddenly the office building has moved far to the left, and the highway is now nearly in line with the Tumbler's direction, running into the distance next to the office building, and passes along the left side of the shingled roof, making it easy for the Tumbler to leap easily onto the roadway.
Revealing mistake: When Batman flees from Gordon after their first meeting, he leaps across an alley and catches himself on the railing on a fire escape. This fire escape fails, dropping him (as well as the clothing left to dry on the railing). Batman grabs the next railing and again, this second fire escape collapses. Exactly the same as the first, with the same clothing falling off. When he climbs onto the 'third' fire escape, we see he's only come down one level, not two. The scene was artificially lengthened by using two perspectives of the same stunt. This isn't the same as showing one explosion from multiple angles because it is timed/edited precisely to appear as a longer fall in continuous time, not as repetition of the same moment.
Continuity mistake: Before Alfred knocks down the man outside the burning mansion, there are several shots from the inside of the building. In one of them, there's a burning table with a globe on. When Alfred and Bruce escape, they enter the room with the piano, and the same table is seen again. There are lots of flames around the table, but the table itself is no longer on fire.
Continuity mistake: When Sergeant Gordon puts the jacket around a young Bruce, the jacket is lying smooth around Bruce in the first shots. In the consecutive shot where Gordon says, "It's okay" for the second time, there's suddenly a huge bulge in the jacket on Bruce's left shoulder, but in the next shot, the jacket is smooth again.
Continuity mistake: When the young Bruce is trapped at the bottom of the well, there are several shots looking up from the bottom. In the first shot, branches are seen over the well. When the bats fly out of the well, there are different branches, and when Thomas Wayne lowers himself down to rescue his son, yet another set of branches is seen.
Continuity mistake: When the prisoners escape a villain disguised as a SWAT team member places a explosive charge against the wall. As he comes down the stairs an explosive pack is already there, and he places his explosive pack on top of that.
Continuity mistake: As Ducard is sliding down the ice toward the cliff, he's on his front, sliding feet first. Bruce is also on his stomach, but sliding head first. Then, just before Ducard goes over the edge, Bruce is instantly on his back, sliding sideways, right side toward Ducard, just in time to take Ducard's hand, saving him.