Let's attempt a small exercise. For each of the past five full Premier League seasons, and for each club that isn't among England's six richest and most powerful (Manchesters City and United, Liverpool, Chelsea, Arsenal, Tottenham Hotspur), let's award five points for the top finisher in a given year, four for the second highest, etc., down to one point for fifth.
Doing so gives us the following leaderboard: Leicester City 16, Everton 14, Southampton 9, Wolves 9, Burnley 7, West Ham United 6.