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This list includes the Top 50 players with the highest PER (*) in any season who were not selected to play in the NBA All-Star Game that year.
At least 800 minutes & 50 games played in the season to qualify for the list.
There are 38 different players on the list, some of them are listed 2-3 times, but nobody close to Manu Ginobili and Al Jefferson, who are the only two who appear 4 times.
Stats updated until 2013-2014 regular season.

(*) The Player Efficiency Rating (PER) is a per-minute rating developed by John Hollinger. In John's words, "The PER sums up all a player's positive accomplishments, subtracts the negative accomplishments, and returns a per-minute rating of a player's performance."
If you want to know more about PER and other advanced stats, check basketball-reference site.

And this is a similar list, but only including the Top 20 PER-Seasons made by players who never have been picked for any NBA All-Star Game.
There are 14 different players. Al Jefferson has 4 different seasons (between 2007-2014) and Arvydas Sabonis, DeMarcus Cousins and Andre Drummond appear 2 times.
Stats updated until 2013-2014 regular season.

Best PER in any season without NBA All-Star