By position group:
Quarterback: Brady is still Brady, and Hoyer is a perfectly fine backup. But this team, having dealt away Brissett and JG, needs a long-term succession plan and probably needs to start that with this draft. Not sure where in the draft they should select a QB, but they ought to go down this road.
Running Back: Lewis and Burkhead are free agents. Gillislee I still think is solid and White is terrific. Develin is a great FB and Bolden is a special teams ace who can fill in at RB in a pinch. I think I'm probably in the minority here but I'm ok if they let Lewis go, given what he may cost. I love Burkhead. Don't get me wrong - I love Lewis too, and he was fantastic this year. I hope they can keep this entire group intact - maybe save some $$ on Gillislee's deal?
Wide Receiver: Edelman returns, but will he be EDELMAN? I bet he'll be pretty much 100%, though just a year older. Amendola and Hogan are solid; we know what they are. Cooks should be back and after having been here a year is primed for more. Mitchell is a wild card - I hope he gets healthy because he's pretty darned good. But if not....do they go with Dorsett or Britt or someone else? Either way, this is still a position of strength.
Tight End: Gronk's status obviously is key. I'd love to see them bring back Gronk and Bennett and Hollister - that would be a fantastic group, IMO. You could manage Gronk and Bennett's snaps by alternating, while giving Hollister more playing time to grow. Allen was a fine blocker but I think they should move on from his contract, and put that money to use elsewhere.
Offensive Line: A very solid group that should get Pro Bowler Cannon back next year. Mason, Andrews, and Thuney are fine in the middle - and young. Solder is the wild card. If he returns, the OL should be in good shape. If not...they suddenly have a major need. But the OL is good and young (Andrews is 25, Thuney is 25, Mason is 24, Cannon is 29, Karras is 24...even Solder - who seems much older - is 29). If Solder returns, this group doesn't need much - maybe a later round project to draft.
Defensive Line: Injuries were problematic this year. I think Branch is done, obviously. I like Brown and Trey Flowers and Wise - three young players very much on the upswing. Rivers is a wild card - I think most of us think he'll be pretty good but we have to wait and see. It sure would be great if he was. Valentine seems fine and Adam Butler is a good rotational player. Guy was pretty solid this year. Clearly pass rush is an issue. I wonder if keeping Harrison for another year makes sense - I thought he was good during his time. I'd like them to invest some draft capital in another rusher.
Linebacker: To me, the single biggest area of need for the team. Hopefully Hightower comes back healthy - not having him against Philly was enormous. Van Noy is perfectly fine, but it's not a good thing if he's by far your best LB. What they lack is speed at LB. They cannot keep up with RBs in coverage, though Marquise Flowers showed some promise. I'd love for them to draft a couple of fast, coverage LB types.
Cornerbacks: Adios to Butler, which saddens me greatly. Loved that guy. Gilmore proved to be a true, #1 stud corner. Rowe is decent - not a bad depth guy but not someone I'm super comfortable with as the #2 opposite Gilmore. To me, Jonathan Jones is the wild card. He showed real promise to me, and if he was playing on Sunday, I think it changes things, as he's much better than Bademosi. Bademosi is fine as a special teams/last resort CB, but the problem was him playing significant snaps in the biggest game of the year. That's not what's supposed to happen. Recall that the Pats torched Seattle's backup backup corner in SB 49 - even a defense as great as theirs is going to get roasted if a special teams/depth guy is playing significant snaps. I want the Pats to get another quality corner, or maybe J. Jones can be that guy.
Safety: Getting up there in age. Richards needs to go, even if he's solid on special teams. They should be able to find a better version of him. I like Harmon, and obviously Chung and McCourty are both terrific when used properly. But there needs to be some young blood in the mix. I expect draft capital to be used at safety.
Special Teams: As much as I like him, I'd be fine cutting Ghost, replacing him with a regular kicker that will do just fine, and using that money to address the defense. Allen is fine, but I think they would have no problem finding another useful punter. Ghost makes $5m and Allen $2m, and I know they'd end up with some dead money, but they'd certainly save some, and I'd rather upgrade elsewhere.
So to me, the priorities are (assuming Solder and Gronk stick around):
1. Speed at LB (need 2 of these guys)
2. CB (#2 CB)
3. Safety (youth)
4. QB (Brady's successor?)
5. RB (try to re-sign Lewis and Burkhead)