Batman returns to stop the Joker's latest insane criminal plot once again, 00:03.55 seconds faster than the last time! (See this submission's movie discussion for more explanation, though, of why the final time appears to be slower in this movie.)
This game is one of those grappling hook games, with which Batman can just swing through areas quickly. Different strategies for level 2 and a more optimized fight with the Joker contribute to this submission's improvement.
You can watch the complete run played back on console