Oxford ?
For some reason, I woke up this morning trying to think which clubs had played in all four leagues AND in the National League and below in their history. I was excluding clubs that had started outside the Football League and then played in the four divisions (Wimbledon, Northampton and Wigan come to mind in that category); it was clubs that had played in all five leagues AFTER joining the Football League
I could only come up with five clubs that fit my definition:
Luton Town
Notts County
Leyton Orient
Carlisle
Bradford Park Avenue
Can anybody think of any others?
Oxford ?
I believe Coventry City have a unique history as they've played in every league possible .
Premier League and First Division
Championship and Division 2
League One , Third Division , Third Division North and Third Division South
League Two and Division 4 .
Cambridge?
Don’t think Cambridge have ever been in the top flight, but do Wimbledon count going from non league to premier league then shafted back to non league then coming back again albeit with a slightly different name.
Technically I see them like Wigan and Northampton as a side that entered the Football League from non-league and played in all four divisions but never actually left the FL to play non-league. They became MK Dons when they moved to Milton Keynes and, as far as I recall, have never dropped out of the FL. AFC Wimbledon are a new club formed by supporters group unhappy with the defection of the original Wimbledon FC to Buckinghamshire. As such they've played non-league and the bottom two divisions of the FL so far.
Near misses for Burnley, Wolves and Cardiff not so long ago!