Kind of figured it would be an AFC team if he does move, I had all but ruled out a trade within the NFC unless some team presented an absolutely outrageous offer-you-can't-refuse.
So if I had to "rank"...
1. Jets - They have a top 5 defense and spent the better part of the season in the top half of teams in total DVOA. Probably have the DROY in Sauce Gardner and have two OROY candidates too, with Wilson who is perhaps the favorite now and Breece Hall who was arguably the front-runner before his injury. They had Hackett interview for OC I believe too. They have assets they can move and can make the space to make it happen. Tough division to play in but the Patriots look a way off yet, Bills are going to start feeling some cap crunch, and Miami has some big question marks with Tua's future...
2. Raiders - The big selling point is getting Rodgers paired up again with Adams. Once Carr is gone they will have ample space to work with. I'm not particularly convinced by him, but I think McDaniels is still thought of as a good offensive coach. Rodgers of course lives out on the West Coast too. I would think they would immediately be second-favorites to win the division behind KC.
3. Titans - Rodgers is a big Vrabel fan. One of the best running backs in the league in Henry. Solid defense. We heard last season how Rodgers bought some land near Nashville to build a house there (Don't know if that's finished yet or what). A fairly open division where they would probably be expected to go toe-to-toe with the Jaguars for the crown.
4. Dolphins - Big question marks around Tua's health. I think their defense is pretty solid, McDaniel is one of the hottest names in the game today, and they have a great set of weapons on offense, you could make a case that Waddle+Hill would perhaps be the best WR pair Rodgers has had. But they don't have a first this year so that makes things a little trickier.
5. Patriots - I have seen this one thrown around but I just don't know that it seems super likely. They have the cap space but IMO while you could make a case that some of the above teams are "just a QB away" I don't know that that's the case with the Patriots, feels like they are a long way off still. And I have to wonder if Rodgers would rather avoid more Tom Brady comparisons - obviously a move to NE would only serve to invite more of those.
I don't see any other AFC teams as terribly likely at the moment.
Bills, Chiefs, Chargers, Bengals, Jaguars, Browns, and Broncos are all pretty much set at QB one way or another. The first 5 really like who they have and the last 2 are locked into their current guy (Wilson/Watson) for the near future even if they don't like them.
Colts and Texans feel way too far away from being competitive to be an option. Rodgers has made it clear he doesn't want to be part of a rebuild. You might put Pittsburgh in that grouping too. Obviously they're not as bad as those two but I don't think they're a particularly serious competitor either. But Rodgers does really like Mike Tomlin. I don't know how sold they are on Pickett.
I guess maybe the Ravens would be a dark horse option if they don't manage to get an agreement with Lamar.
All that said really feels to me like Jets are by far the favorites and the next 3-4 are the only teams I'd really expect to see a deal with at the moment, all the rest feel very unlikely.