I had a spreadsheet that I used to track all of my characters Day Job badge activities, so all of my names are there. I plan to eventually re-create all of them, but since the likelihood is that we will all be starting all over again, it will quite some time before I can get to them all. In the meantime, I have rebuilt the first 9 (out of 25) in Icon, so when the game returns, it will only take me about 30 minutes to create them, since all of the heavy lifting is already done, thus claiming the names. Most of them are pretty unique, and likely would not be in any danger of being claimed by the time I get there. However, there is one that I think I was only able to claim before, because I was one of the early players, so I sure won't be sharing that one.
As for the rest.....if I tell you, and you like one of them, what's to stop you from claiming it first?