German Dr Brueggemann obtained permission from the Civil Aviation Authority to fly the fixed-wing plane after strict safety checks.
He reached speeds of 110mph at 3,000ft before landing in front of supporters as well as a representative of the German Luftwaffe.
The GP, who has been nicknamed the Red Baron of Norfolk by his patients in Holt, said: “When I got the permit to fly there was excitement but also trepidation because I realised I actually had to fly it now, it was no longer a dream.
“I was sat on the runway and I asked myself, ‘Should I do this?’ But you have to commit to it so I put the engine on at full power and went for it.”
After a “scary start” getting the plane under control, Peter took off and said it was “amazing to have the sensation of exactly what it was like to be a pilot 100 years ago”.
The doctor’s idol was a baron from an aristocratic Prussian family who was credited with 84 victories during the war.