EARTH: Batman never existed
Booster Gold #11
A world where Wiley Dalbert never traveled back to the 1800s and founded the Gotham Hospital for Children. The hospital was eventually endowed by Thomas Wayne instead. Thomas took his family to the opening ceremonies instead of the movies and avoided the gunman who killed him and his wife, leaving Bruce Wayne an orphan.
Without the trauma of losing his parents, Bruce Wayne never became Batman and so Detective Sergeant Gordon, who has lost an eye at some point, and the Gotham PD fight crime in Gotham city alone.
This world ceased to exist when Booster Gold (dressed as Killer Moth) and Skeets made sure that Wiley Dalbert made his way to the past to endow the hospital. However, this created a new temporary reality where Killer Moth ran Gotham City.