I've gone ahead and made the main tag armagetron-advanced, as that is the current official project name. As I mentioned in the comments above, the other names were chosen for specific releases to avoid trademark issues according to Wikipedia.
I've also added retrocycles and armacycles-advanced as synonyms, and added a basic wiki to the tag. Hopefully this ...
Better late than never
I've actually expanded the main tag to professor-layton-the-last-specter thanks to the increased tag size limit from a few years ago. The end result:
professor-layton-the-spectres-call → professor-layton-the-last-specter