Texel EHTX is maybe an hour from Norwich. Land, have lunch at the airport restaurant, rent bicycles, go to the beach or a nature reserve, have dinner in one of the harbor villages, stay the night at the airport hotel and fly home the next day.
Only problem will be that of that hour, about 55 minutes will be over water. Unless you go via Dover/Calais, but then you might be looking at three hours flight time or so.