Ultimate Universe (Earth-1610)
The Avengers: Earth's Mightiest Heroes (Earth-8096)
Iron Man: Armored Adventures (Earth-904913)
In Iron Man: Armored Adventures, the tower was very hi-Tech and included a security room, a power generator room, and many security robots. It was also equipped with lots of offices.
Marvel Cinematic Universe (Earth-199999)
In this reality, Stark Tower is a high rise building towering over Manhattan located in 200 Park Avenue. Tony Stark maintains a New York residence there with Pepper Potts, and the top ten floors are reportedly taken up with many technological research and development. The entire building is powered by an arc reactor and its electronic systems are maintained by J.A.R.V.I.S..
The tower became the focal point of a battle when Loki and Erik Selvig set up a portal generator on the roof and opened a dimensional rift to an army of Chitauri warriors waiting on the other side. Heavy fighting caused extensive damage to the upper floors during the attack leaving the only letter to remain from the Stark logo being the "A", as a deliberate nod to the signature "A" from the Avengers title.
Three years later, the tower retained only the "A" in its façade, being nicknamed "Avengers Tower". Stark developed at the building an Iron Legion of security robots. After rescuing Loki's Sceptre from Hydra, Tony researched on the Sceptre and decided to use its power to finish a stalled artificial intelligence program called Ultron. Ultron wound up becoming evil upon inception, shutting down J.A.R.V.I.S. and taking over the Iron Legion bots to attack the Avengers. Stark would later use Stark Tower's facilities to reprogram an artificial lifeform built by Ultron, Vision.
Although the Avengers later relocated to the New Avengers Facility, the tower itself remains in New York with the familiar logo.
Marvel Animated Universe (Earth-12041)
Avengers Tower's design appears very similar to the Stark Tower of Earth-199999 and it's later redesigns. The building had an underground basement that contains old Avengers' items, such as trophies, suits and equipment. The Tower served as the team base from very early, up to the point where Ultron destroyed it and they had to find a new one.
At some point in the future, the tower gets rebuilt and is eventually turned to the Avengers museum, displaying items and scenes from their history, both real and virtual.
Avengers: Electric Rain (Earth-TRN515)
In this reality, the Stark Tower is known as the Avengers Tower. It is a high rise building located in Manhattan that serves as the base of operations for the Avengers of this dimension and as a location that contains this dimension's Iron Man's suits. Visibly it appears very similar to the Stark Tower of Earth-199999
After Spider-Queen took over Manhattan, she moved into Avenges Tower and renamed it The Queen's Castle. This was where Agent Venom's Resistance freed Manhattan, resulting with the death of Soria, Thompson, and the Venom Symbiote. Visibly it appears very similar to the Stark Tower of Earth-616