I've only named two of mine, and then only 'cause it just happened. Brand X came from the TV commercials when I was a kid. Any time a company wanted to claim that their product was better than someone else's, they called the other one 'Brand X'. My first Yamaha SBG1000 turned out to be better than the Gibson Les Paul Custom I intended to buy that day in 1984, and it's still the standard I compare anything else to, so the name fits.
Then I found another 1984 SBG1000, so I started calling it 'The Stocker' to differentiate it from 'Brand X'. It's now being modded, too, with a DiMarzio PAF Pro at the neck, and a DiMarzio Tone Zone at the bridge. I expect it will sound noticeably hotter (more sinister?) than Brand X, so I'll call it The Stalker.