Unfortunately, I don't work on the field at BNA anymore, although I do get out from time to time to say Hi to some old friends.
I USED to work out of Hangar 2 flying flight instruction, then King Airs, then Lears, then I got into the 121 side and I'm trying to either move on to a major or get into a nice corporate job. Either one would be fine, I'm just tired of busting my butt 18 days away and 90 hours of flying a month for $65k a year.
There's been a LOT of positive movement in the BNA corporate scene lately. Unfortunately, Averitt has been having a very hard time and has lost a LOT of aircraft, but they're still around (although not as good to work for as they once were). Might be a good entry-level job until you can network on the field and get to know some other operators.
Pharmaceutical company opened a local flight department flight a Lear 45, but I hear it's a VERY good operation so don't expect much movement. Also a CL-604 but I can't get much info on the operator. Alan Jackson's flight department runs a Lear and a Falcon 20 (don't know if they've done the fan conversion or not) - there's rumors of a little movement there but nothing solid.
Gaylord of course, and that's about all I've heard lately. Rogers construction is on the field, as is O'Charley's and a few others. Rumor is the 2nd Captain on the Gaylord aircraft went to Cracker Barrel's flight department out of Lebanon for more pay, better QOL. Most of those don't pay what I'd have to get to leave here so I haven't kept up with it as much as I probably should.
Wish I could give you a little more insight, but it's very quiet in BNA, like everywhere else, most of the good jobs are gone by the time you hear about them unless you've made buddies with someone who works there.
Good luck!
Not everyone "gets" to live here. Just ask the guys who run the local the FBO's. 
