Goals from Johnny Mullins and Lee Frecklington ensured that Rotherham United gained promotion from League Two with a 2-0 win over Aldershot.
AFC Wimbledon beat Fleetwood 2-1 to stay in the Football League. Gary Alexander put the home side in front, but were pegged back just two minutes later by an Andy Mangan header.
However, Jack Midson scored a penalty on his 100th appearance for the club to ensure AFC Wimbledon's safety.
That result, coupled with Barnet's 2-0 loss at Northampton, ensured that The Bees will be playing non-league football next season.
Goals from Roy O'Donovan and Luke Guttridge condemned Barnet to the Blue Square Conference.
Elsewhere, Dagenham and Redbridge stayed up despite losing 1-0 at home to York City.
An Elliot Benyon brace helped Torquay United secure a 3-3 draw at home to Bristol Rovers and Rochdale beat Plymouth 1-0.
Results in full: Accrington 0-3 Oxford United, AFC Wimbledon 2-1 Fleetwood, Burton Albion 3-2 Gillingham, Cheltenham 0-0 Bradford City, Chesterfield 4-0 Exeter City, Dagenham and Redbridge 0-1 York City, Northampton Town 2-0 Barnet, Rochdale 1-0 Plymouth, Rotherham United 2-0 Aldershot, Southend 0-1 Morecambe, Torquay United 3-3 Bristol Rovers, Wycombe 1-1 Port Vale
