With respect to airway, you should do every single airway you can. I still can't wrap my head around the discussion in one of the other threads where people were suggesting it's okay to give them to medical students.
For central lines, you should also do as many as you can. But I think overall it's less important than airway. Many patients that get central lines in the ED probably don't need them downstairs, and there's fairly decent data that suggests you can run peripheral pressers for 24 hours without major complication, and in the community many patients wait until they get to the ICU before a line is placed. More important than the actual line is being facile with ultrasound guided venous cannulation.
The only exception is blind subclavian access. Most EM residencies will train you to be proficient at IJ and femoral CVC placement but I would argue blind subclavian is the most important tool we have (best resuscitative line for trauma, fast, don't need the damn US to get set up, lower infection rate, better tolerated by patients etc).
In terms of surgical airway, the only ones I did in residency were in cadavers. I've done an emergent pericardiocentesis twice on 2 patients (both died with type A dissections). Overall, some of these low frequency procedures you will never get to do on an actual patient (maybe ever in your career, which I'm okay with). But use SIM when available, cadavers etc to get the numbers for logging in residency.