Gotham City Bank is a financial institution located in Gotham City. Like most banks, it likely has multiple branches throughout the city. And like all banks in Gotham, it has been robbed more times than any person ever wishes to count. A pair of thugs used hi-tech weaponry to disintegrate the door to the vault, but Batman and Robin showed up and chased them away before they could get any loot. (Challenge of the Super Friends: Conquerors of the Future)
Another version of this institution, known as just Gotham Bank, appeared on the TV series Gotham. Members of the Red Hood Gang robbed the bank, miraculously evading several shots from a security guard's gun. To cover their escape, they began throwing some of the money they had stolen out into the streets, encouraging pedestrians to go after it. The leader of the gang at this time was a man named Gus Floyd. (Gotham: Red Hood)