First of all, I apologize for the guide having some unverified information. That being said, I write here information that I could not find myself while being puzzled by this trophy.
The guides over PSN Profiles, True Achievements and Steam just state that you should get it by the end of your playthrough if you don't skip the takeoff/landing bits of all missions. Well, I didn't skip any, to my knowledge, and still didn't get it. The guides out there didn't state what missions have those landing/takeoffs, so I replayed the whole game myself taking the notes you'll find below.
In my first playthough (easy). I didn't take notes of which aircraft I used, and I unlocked the trophy on my second playthrough (normal), by the end of mission 5. Because of that, I couldn't verify if the trophy would unlock at the takeoff/beginning of a mission, or if you have to complete it, also if you have to replay mission that have landing and takeoff variants (ground/carrier), so that's the unverified bit I mentioned earlier.
I must have skipped something, so skipping does not void the trophy, as you will find some people stating. Maybe that was the case in a previous patch...
Here are the missions that have takeoffs, mid-air refuelings and landings. They occur either at the very beginning or the very end of a given mission. I list the aircraft I used, but they are by no means necessary, use whatever you wish.
As an aside info, so you can gauge how early you can have those aircrafts, I unlocked F22A by mission 17 or so of my first playthrough, and X-02S by mission 6 of my second playthrough, just by playing campaign sequentially without replays, and about 15 or so multiplayer matches.
Mission ##---Aircraft--Start of mission----End of mission
Mission 1 - F22A - Ground takeoff - Nothing
Mission 2 - F22A - Nothing - nothing
Mission 3 - F22A - Mid-air refuel - Ground landing
Mission 4 - F22A - Nothing - nothing
Mission 5 - F22A - Ground takeoff - Ground landing *Trophy for me
Mission 6 - F22A - Nothing - nothing
Mission 7 - X-02S - Nothing - Ground landing
Mission 8 - X-02S - Nothing - Nothing
Mission 9 - X-02S - Nothing - Nothing
Mission 10 - X-02S - Ground takeoff - Nothing
Mission 11 - X-02S - Mid-air refuel - Nothing
Mission 12 - X-02S - Nothing - Nothing
Mission 13 - X-02S - Nothing - Nothing
Mission 14 - X-02S - Mid-air refuel - Ground landing
Mission 15 - X-02S - Nothing - Nothing
Mission 16 - X-02S - Nothing - Nothing
Mission 17 - X-02S - Nothing - Nothing
Mission 18 - X-02S - Nothing - Nothing
Mission 19 - X-02S - Nothing - Carrier landing
Mission 20 - X-02S - Carrier takeoff - Nothing