Zerograv, you do not state what kind of aircraft, so I will assume a single engine land airplane less than 12,500 pounds gross takeoff weight not flying for hire, i.e. private flights.
On your person you will need:
1. FAA Private, commercial, or ATP certificate for airplane single engine land. If you plan to file IFR, you will need an instrument rating also.
2. FAA 3rd class medical certificate.
3. FCC restricted radio telephone operator's license.
The aircraft will need:
1. Certificate of airworthiness (displayed so pax can see).
2. Aircraft registration
3. Aircraft radio station license
You do not need to carry the engine and airframe logbooks in the aircraft. In the U.S. we do not have airplane trip logs, but we do of course have personal logbooks. You do not need to carry these.
I hope this helps, and good luck,
