Continuity mistake: While Batman and Robin are at Arbagast's home, the phone rings so Robin gives Arbagast the handset. When they realise it's Belson on the line, in a closeup Robin clicks the machine base to record the conversation. The problem is that in this closeup the handset is still in its base, even though Arbagast is still holding it talking to Belson. (00:42:45)
Continuity mistake: On the burning oil rig, when Robin and Barbara pull Mr. Freeze out from underneath the rubble, Barbara is missing her shoe and blue sock in this shot. (00:54:20)
Other mistake: While the fire on the oil rig burns all around, Mr. Freeze grabs Belson, then orders him to go find Barbara (to do the transplant). When it cuts to a closeup of Freeze, the reflections of Belson on Freeze's eyeglass lenses are not reversed as they should be. (00:53:00)