Any Unknown or Unlisted Aircraft Manufacturer
Flight Crew Commercial
Conflict Airborne Conflict; Deviation / Discrepancy - Procedural Published Material / Policy
Flight Crew Took Evasive Action
Departing uncontrolled [airport X] behind a flight of two aircraft. As taking off; Cessna inbound calls coming in from South to enter an Upwind for the runway giving no distance out. This is not our standard entry. As I became airborne; they announced they were upwind. I looked over and saw the Cessna. I was a bit faster and climbing. I announced to the Cessna I had them in sight. And would turn to depart the pattern and pass above and behind them. The pilot said they did not see me on the runway and was wondering what they should do. It was never a conflict or dangerous situation; but only because I saw the other plane and heard the non-standard upwind entry. I turned well above and behind them. Aircraft at this airport cross midfield to enter not upwind and turn into the traffic pattern (which already had several planes doing closed traffic.)  Similar issue at the next airport [;airport Y;] we approached doing a practice ILS. Transitioning traffic said they had traffic in the pattern in sight and would remain clear; but then did not alter heading or altitude. Never a conflict issue; as we climbed above them by 500 feet and passed well behind them; but another example of people treating an airport pattern as if they were the only plane flying.
Pilot reported non-standard traffic pattern procedure by other aircraft at two airports.