The name you will probably hear the most for the Jets is Arizona defensive coordinator Todd Bowles. The 51 year old previously was with the Eagles and Dolphins most recently. He has transformed the Cardinals defense to maybe the best in the entire NFL. The unit has dealt with major injuries to big time players all season, but has kept them elite. Players supposedly love him and he is a good guy. This would be a nice hire.
2) Dan Quinn
Quinn is similar to Bowles as a candidate. Quinn is the defensive coordinator of another elite defense, the Seattle Seahawks. Quinn won a ring in Seattle and has developed guys like Chancellor, Thomas, and Wagner into what they are. He is a young guy at only 44 years old with a lot of energy and could bring a guy like Byron Maxwell with him. Look for him to be interviewed a lot of places.
3) Gus Malzahn
If the Jets look towards the college ranks they should go hard after Auburn head coach Gus Malzahn. Malzahn has transformed the Auburn program into an elite college football program, appearing in two national championships in the past few seasons. He won with Cam Newton and is a great offensive mind. It would take a lot of money to make him come, but it would be worth it.
4) Kyle Shannahan
A guy I really like is Cleveland Browns offensive coordinator Kyle Shannahan, son of former head coach Mike Shannahan. He kept the Browns solid on offense with Gordon and Cameron out, and with Hoyer as their quarterback. The 35 year old was up and down in Washington as a coordinator, but had a great first season with the Browns. I think he is a serious candidate for the job.