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This list includes 29 players who averaged more than 24 points per game (1400 points minimum), but were not selected to play in the NBA All-Star Game.
There are players like World B. Free, Purvis Short, Mark Aguirre, Kiki Vandeweghe, Dale Ellis, Michael Redd and Monta Ellis that achieved this feat two times.
Stats updated until 2013-2014 regular season.

And this is the same list, but only displaying players with 22.5+ points per game in any season that never have been selected for the NBA All-Star Game.
13 players with some of them making multiple appearances: Purvis Short 3 consecutive times between 1983 and 1986. Other players with two mentions are: Monta Ellis and Kevin Martin.
Stats updated until 2013-2014 regular season.

Most points per game in a season without NBA All-Star