The Hall of Doom is an advanced structure which, in a few different continuities, has served as the headquarters to several prolific groups of supervillains, most notably the Legion of Doom.
This structure was created as a prison for supervillains, which, following a riot, became their headquarters. This was one of the events which Superman dealt with following his retirement. ("Kingdom Come")
Krypto the Superdog
In the cartoon series Krypto the Superdog, the Hall of Doom served as the headquarters for the Intergalactic Villains Club, a team of villains including Mechanikat, Krypto's archnemesis. (Krypto the Superdog)
DC Universe Online
The Hall of Doom is the headquarters of the Secret Society of Super-Villains, where new recruits are trained. It has three wings, one for each type of ability, including Metahumans, Magic, and Technological abilities. ("DC Universe Online")
While some members are actual DC villains (Solomon Grundy, Black Manta and Cheetah), they also include Marvel villains (Doctor Octopus and Doctor Doom), and villains from the South Park universe (Saddam Hussein, Osama Bin Laden, David Blaine, Kim Jong-Il, Professor Chaos and General Disarray).