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MOST ASSISTS IN A SEASON WITHOUT NBA ALL-STAR GAME

This list includes 33 players who dished more than 700 assists in some NBA season, but did not play in the NBA All-Star Game.
There are 3 players on the list who have accomplished this feat 4 times: Muggsy Bogues, Mark Jackson and Terry Porter.
Stats updated until 2015-2016 regular season.

Rk Player Season Age AST AST G
1John Stockton1987-8825112813.882
2Kevin Porter1978-7928109913.482
3Kevin Johnson1988-892299112.281
4Mark Jackson1996-973193511.482
5Norm Nixon1983-842891411.182
6Andre Miller2001-022588210.981
7Mark Jackson1987-882286810.682
8Muggsy Bogues1989-902586710.781
9Deron Williams2007-082386210.582
10Steve Nash2010-113685511.475
11Rajon Rondo2015-162983911.772
12Kevin Porter1977-782783710.282
13Kevin Johnson1991-922583610.778
14Norm Van Lier1970-712383210.182
15Terry Porter1987-882483110.182
16Doc Rivers1986-872582310.082
17Johnny Moore1984-852681610.082
18Rod Strickland1997-983180110.576
19Avery Johnson1995-96307899.682
20Reggie Theus1985-86287889.682
21Muggsy Bogues1993-942978010.177
22Terry Porter1988-89257709.581
23John Lucas1977-78247689.482
24Lenny Wilkens1971-72347669.680
25John Lucas1978-79257629.382
26Johnny Moore1981-82237629.679
27Johnny Moore1982-83247539.877
28Sleepy Floyd1985-86257469.182
29Deron Williams2006-07227459.380
30Muggsy Bogues1991-92277439.182
31Rod Strickland1993-94277409.082
32Norm Nixon1978-79237379.082
33John Bagley1985-86257359.478
34Scott Skiles1992-93287359.478
35Kevin Porter1980-81307349.181
36Pooh Richardson1990-91247349.082
37Sam Cassell1999-00307299.081
38Rod Strickland1996-97307278.982
39Terry Porter1989-90267269.180
40Deron Williams2008-092472510.768
41Mark Jackson1992-93277248.882
42Ty Lawson2014-15277209.675
43Stephon Marbury2003-04267198.981
44Steve Nash2008-09347179.774
45Terry Porter1986-87237158.980
46Nick Van Exel1999-00287149.079
47Mark Jackson1997-98327138.782
48John Stockton2000-01387138.782
49Muggsy Bogues1992-93287118.881
50Sleepy Floyd1988-89287098.682
51Damon Stoudamire1996-97237098.881
52Stephon Marbury1997-98207048.682
53Ricky Rubio2013-14237048.682
54Greivis Vasquez2012-13267049.078
55Jason Kidd2008-09357028.781
56Nate McMillan1987-88237028.682
57Tiny Archibald1971-72237019.276
Provided by Basketball-Reference.com: View Original Table
Generated 1/30/2017.

And this is the same list, but only displaying players with 700+ assists in any season that never have been selected for any NBA All-Star Game.
There are 14 different players, Andre Miller, Greivis Vasquez, Ty Lawson and Ricky Rubio are the only active players on the list. 
Stats updated until 2015-2016 regular season.

Player Season Age AST AST G
Kevin Porter1978-7928109913.482
Andre Miller2001-022588210.981
Muggsy Bogues1989-902586710.781
Kevin Porter1977-782783710.282
Johnny Moore1984-852681610.082
Rod Strickland1997-983180110.576
Avery Johnson1995-96307899.682
Muggsy Bogues1993-942978010.177
John Lucas1977-78247689.482
John Lucas1978-79257629.382
Johnny Moore1981-82237629.679
Johnny Moore1982-83247539.877
Muggsy Bogues1991-92277439.182
Rod Strickland1993-94277409.082
John Bagley1985-86257359.478
Scott Skiles1992-93287359.478
Kevin Porter1980-81307349.181
Pooh Richardson1990-91247349.082
Rod Strickland1996-97307278.982
Ty Lawson2014-15277209.675
Muggsy Bogues1992-93287118.881
Damon Stoudamire1996-97237098.881
Ricky Rubio2013-14237048.682
Greivis Vasquez2012-13267049.078
Nate McMillan1987-88237028.682
Provided by Basketball-Reference.com: View Original Table
Generated 1/30/2017.