The Fortress of Solitude that Superman calls home is as popular as the Batcave, but fans may not know that Wonder Woman had one of her own. From the mid-1990s to the early 2000s, the Goddess of Truth actually had her own sentient headquarters. In many ways, it was similar to the Man of Steel's, though in others it far surpassed his.
Superman's Fortress of Solitude is an isolated headquarters for the hero. It is a base of operations where he stores dangerous technology, creatures, and important relics from his homeworld of Krypton. It is one of the most iconic comic hideouts, along with the Dark Knight's Batcave. Less familiar to fans is Wonder Woman's Wonderdome.
The Wonderdome was the form taken by a Lansinarian morphing disk. Wonder Woman acquired this item in writer/artist John Byrne's Wonder Woman #115 from 1996. Her heroic exploits pitted her against an ancient race of beings known as the Lansinarians. They possessed these disks, which are capable of transforming into what the user needs or wills it to do. The predominant form it would take with Wonder Woman was her invisible plane, though it had other forms, including a floating fortress that was similar to - but better than - Superman's.
As far as similarities go, the Wonderdome held numerous souvenirs from Wonder Woman's adventures and it was built with her home of Themyscira in mind. It has ancient columns, a classical facade, and Amazon weapons and armor within it. It has relics from World War II, a period of time that the heroine is frequently identified with. Additionally, it held mythological beasts within a legendary menagerie - like Superman's. One animal included was the Chimera. The Wonderdome also allowed Wonder Woman to maintain a view of the world's happenings, but there's still more to it.
The Lansinarian morphing disk is sentient. It is capable of shape shifting, but it can also comprehend speech. This is very apparent in its last major appearance within Wonder Woman #201 by Greg Rucka and Shane Davis, when it sacrifices its morphing abilities to help Wonder Woman save people. It takes a humanoid form while Diana speaks with it, before transforming into a shield to stop a tidal wave. This sacrifice results in loss of sentience and a finalized state of existence as the invisible plane. This is a very different origin for the iconic vehicle, which makes it far more interesting. Superman's Fortress of Solitude may house a hero and strong security measures, but it isn't sentient or heroic in the way Wonder Woman's fortress is.
Additionally, Wonder Woman's Wonderdome was just one of many forms that could be taken by the Lansinarian technology. The disk was most often used by the Goddess of Truth for transportation, despite her ability to fly. Even the first Flash - Jay Garrick - had the opportunity to ride in the plane with Wonder Woman. It was a flying chariot, a multi-terrain vehicle when the Lansinarians had it, a floating mobile fortress, and as mentioned previously, a giant shield. The disk is versatile and convenient in size, shrinking small enough to be a ball that fits in a pocket. While Superman's Fortress of Solitude is stuck in one place, Wonder Woman could have taken hers anywhere. Although she lost it to time, it is exactly the kind of home away from home that would be worth bringing back.