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This list includes 25 players who scored at least 1.900 points in a regular season, but were not selected to play in the NBA All-Star Game.
There are players like Mark Aguirre, Kiki Vandeweghe, Dale Ellis and Earl Monroe that achieved this feat two times.
Stats updated until 2015-2016 regular season.

Rk Player Season Age Tm PTS G
1World B. Free1978-7925SDC224478
2Dominique Wilkins1984-8525ATL221781
3Purvis Short1984-8527GSW218678
4Tiny Archibald1971-7223CIN214576
5Carmelo Anthony2005-0621DEN212280
6Kiki Vandeweghe1986-8728POR212279
7Paul Pierce2000-0123BOS207182
8Mark Aguirre1984-8525DAL205580
9Antawn Jamison2000-0124GSW204482
10Dale Ellis1986-8726SEA204182
11Michael Redd2005-0626MIL202880
12Jack Twyman1960-6126CIN199779
13Earl Monroe1967-6823BAL199182
14Mark Aguirre1982-8323DAL197981
15Geoff Petrie1972-7324POR197079
16David Thompson1980-8126DEN196777
17Bob Rule1968-6924SEA196582
18Kiki Vandeweghe1985-8627POR196279
19Dan Issel1979-8031DEN195182
20Calvin Murphy1977-7829HOU194976
21Dale Ellis1987-8827SEA193875
22Monta Ellis2010-1125GSW192980
23Alex English1980-8127DEN192981
24Jamal Mashburn1994-9522DAL192680
25Earl Monroe1969-7025BAL192282
26Mike Mitchell1985-8630SAS192182
27Bernard King1977-7821NJN190979
28Joe Barry Carroll1982-8324GSW190779
29Tony Campbell1989-9027MIN190382
Provided by View Original Table
Generated 1/31/2017.

And this is a similar list, but only displaying players with 1750+ points in any season that never have been selected for the NBA All-Star Game.
19 players with only one of them making multiple appearances: Purvis Short 2 consecutive times between 1983 and 1985.
Stats updated until 2015-2016 regular season.

Player Season Age PTS G
Purvis Short1984-8527218678
Monta Ellis2010-1125192980
Tony Campbell1989-9027190382
Kevin Martin2010-1127187680
Ron Harper1986-8723187482
Richard Jefferson2007-0827185782
Ron Boone1976-7730181882
Jalen Rose2002-0330181682
Kevin Loughery1968-6928180680
Purvis Short1983-8426180379
Kendall Gill1996-9728178982
Jason Richardson2007-0827178882
John Williamson1977-7826177775
Derek Smith1984-8523176780
Orlando Woolridge1984-8525176777
Darrell Griffith1984-8526176478
Wayman Tisdale1989-9025175879
Byron Scott1987-8826175481
Ben Gordon2006-0723175382
Provided by View Original Table
Generated 1/31/2017.