The game is a point-and-click adventure, based on Tim Burton's second Batman film. Here's a description of the game, from MobyGames:
The Genesis title based on Batman Returns is a platform game in which the Dark Knight must traverse five action-filled levels on his way to confront the Penguin. Areas include the rooftops of Gotham City, Max Shreck's department store, the Red Triangle Circus and the sewers. Besides run-and-jump action, there's also a lot of combat in the game, as many of the Penguin's henchmen stand in Batman's way. He can knock them out with punches and kicks and a number of extra weapons stored in his utility belt. These include batarangs, which come in standard and self-seeking varieties, and smoke bombs that stun enemies for a while. In addition, Batman can shoot from his grappling gun and unleash a deadly swarm of bats towards enemies. All of these weapons have limited ammo, however, that must be collected. Other special tools Batman can use include the grappling hook to reach high places or swing across chasms, and his cape, which can be used to slow falls. Each of the five levels features several boss battles against Catwoman, the Penguin and others.
The game was a followup to a licensed Nintendo Entertainment System game, based on Burton's first Batman. Batman Returns was not as well received as its predecessor.
The Internet Archive is a non-profit organization, founded in 1996 and tasked with creating an online library. The digital library includes digital texts, audio, images, and software. The software collection includes other classic video games, including The Oregon Trail, Street Fighter II, Busta-A-Move, and Prince of Persia.