Moxey started to achieve recognition with his part in Exeter's 2005 FA Cup run. It was Moxey's stunning 50-yard goal against Football League One side Doncaster Rovers that had helped City into the third round and led to Moxey being voted Player of the Round. He won attention for his quip when interviewed post-match for Match of the Day: "Went for it, seen him Doncaster goalkeeper off his line, dropped in, happy as Larry!". He was part of the side that, on 8 January 2005, drew 0–0 against Manchester United at Old Trafford in the Third Round to earn a replay at St. James Park.