We have a MESL, or Min Essential Systems List. Not so much for the aircraft flyability, but for it's combat needs. Items that are go/no go considerations are such things as an operable RHAW in all bands/limited bands, yes/no ECM pod, yes/no HUD or degraded HUD, etc.
For the aircraft itself, it's the pilots call on what's needed for flight. Obvious items like both hydraulic systems, an operable APU, etc are all required items, other stuff like FM radio inop are pilots call.