Times Square is a major intersection in Manhattan, New York City at the junction of Broadway and Seventh Avenue and stretching from West 42nd to West 47th Streets. The Times Square area consists of the blocks between Sixth and Eighth Avenues from east to west, and West 40th and West 53rd Streets from south to north, making up the western part of the commercial area of Midtown Manhattan.
In the Pre-Crisis timeline, Times Square is where the Freedom Fighters arrived some time after bringing World War II to an end on the beleagured alternate reality known as Earth-X. Bored and in need of adventure, they came to Earth-One and fought againt the villain known as the Silver Ghost in Times Square. 
When the alien Despero came to Earth in another bid to wipe out the Justice League, he met resistance from not only Justice League Europe, but also Lobo, who had been hired by Lord Manga Khan to retrieve him. The fight took place in the center of Times Square, which suffered massive amounts of property damage, owing largely to the misplaced actions of Major Disaster. Major Disaster was to serve as the JLE's "ace-in-the-hole", but his inability to control his powers, caused widespread chaos across the intersection, and did little to stop Despero. The JLE's allies Kilowog and L-Ron stopped Despero by downloading L-Ron's programming into a bio-electrical construct that took control of Despero's mind. With L-Ron in control of Despero, the attack ceased. Lord Manga Khan, feeling responsible for the carnage, offered to finance the reconstruction of Times Square. 
During the "Total Chaos" affair, the Team Titans attacked a helicopter that were transporting the Titans to S.T.A.R. Labs. The helicopter was destroyed and plummeted to the street of Times Square. The Titans however, managed to escape the vehicle without injury. 
Times Square was later the scene of a massive race riot incited by two rival controversial talking heads named Cyrus Bramlett and Austin Phipps. Green Lantern (Kyle Rayner) and Green Arrow (Connor Hawke) quelled the riots and exposed mass murderer Nicholas Kotero as the architect of the riots. 
Shortly after Infinite Crisis, Donna Troy briefly assumed the role of Wonder Woman. The sorceress Circe enlisted the aid of several of Wonder Woman's most notorious adversaries including Giganta, Doctor Psycho and the Cheetah to capture all of Wonder Woman's allies. The battle took place in Times Square and also included the teen super-hero Wonder Girl. The real Wonder Woman, having assumed the guise of DMA agent Diana Prince joined the battle along with the Olympian hero Hercules.