If a name is indicated as taken, you will need to select a different name. Neopets has been in existence for 26 years, which means that a vast number of usernames and pet names have already been claimed by other users and are no longer available for reuse. It is important to understand that even if a particular name does not show up in the search bar, this does not guarantee that the name is available for you to use ans is not considered an untaken name. Many names may be registered but not actively displayed in search results, so you should always try alternative options when creating your username or pet name.