Lord Vishnu lives in Vaikuntha while his poorna avatara Lord Krishna lives in Goloka Vrindavana. Do any of the other Vishnu avataras have their own lokas? If yes, please mention the names of these lokas and their respective Lords.
There are references to various places where the Avataras of Vishnu reside. Varaha Avatara resides in a sumptuous palace on Mount Meru. There is reference to this Skanda Purana under the Chapter Venkatesha Mahatmyam. I have no idea or reference to the worlds of Narasimha and Vaamana, but Parshurama still resides on the earth.
If more clarifications or references do come to me, I will further update.