As long as it is an aircraft that is NOT pressurized (ie - stays under like 12000 feet) I believe any high performance vinyl is okay. For pressurized aircraft there are vinyls specifically for aircraft that will properly expand and contract with the aircrafts skin. I know 3M makes a couple of types and I believe a couple of other companies do as well.
Also want to be very meticulous on install being very aware of any openings, seams, hatches, handles, etc. Last thing you want is a possible liability issue. We have done a couple of aircraft and they were pretty specific about things. Also keep in mind - the skin of an aircraft is incredibly thin and fragile - do NOT press too hard or you will dent it. Have the pilot do a walkaround with you pointing out any and all sensors, specifically hidden or hard to see ones like pitot tubes which might just be a pinhole somewhere on the fuselage.
As far as a full wrap on a plane goes. Sounds like a blast. I'd love to tackle something like that. I know one thing, I'd definitley be looking at one of the ultra thin vinlys and laminates. Couple of reasons, reduction of weight for one, ultra conformability, and reduction of the thickness of leading exposed edges. Might even add 3/4" strips of additional bare 1mil laminate across seams just to be extra safe.
