I also really enjoy J4 Burley. I agree with Hutch Piper about Sweet Burley, but they are so similar that I wouldn't be surprised if it's just J4 with a casing.
I know Stokkebye sells a straight burley, but I haven't smoked it in several years so I don't know if it's comparable. There have to be a few other offerings out there of just a plain old burley.