When Mr. Freeze, desperate to save his dying wife, kidnaps Barbara Gordon (Batgirl) as an involuntary organ donor, Batman and Robin must find her before the operation can begin.
Plot hole: Batman finds at Belson's home a handwritten list of substances needed for a transplant. Why would Belson, a medical authority in the field that knows those things thoroughly, even write a list down? If it's for Freeze to procure him the material, why would it be at his house and not with him, and when did he even have time to be at home to do that, since he has been kidnapped by Freeze when he was driving on the outskirts of Gotham and taken to the oil rig? If he had time to go home, he at least would have changed clothes, he's still in the tuxedo he wore when he was kidnapped the night before.
Trivia: While Mr. Freeze is at Shaugnessy's, when Shaka smacks Dick across the room, he ends up flat on his back, and in the close-up when Dick raises his head, the buttons on his vest switch sides momentarily. Then the buttons revert back (noted in trivia because it's better when clicked through slowly).(00:24:25)