So here's all 18 seasons:
2001 (1 1st team, 0 2nd team, 1 TOT) - Troy Brown (PR)
2002 (1 1st team, 0 2nd team, 1 TOT) - Adam Vinatieri (K)
2003 (2 1st team, 1 2nd team, 3 TOT) - Richard Seymour (DL), Tedy Bruschi (LB), Ty Law (CB)
2004 (1 1st team, 2 2nd team, 3 TOT) - Richard Seymour (DL), Tedy Bruschi (LB), Rodney Harrison (S)
2005 (0 1st team, 1 2nd team, 1 TOT) - Tom Brady (QB)
2006 (0 1st team, 1 2nd team, 1 TOT) - Richard Seymour (DT)
2007 (7 1st team, 3 2nd team, 10 TOT) - Tom Brady (QB), Randy Moss (WR), Wes Welker (WR), Dan Koppen (C), Logan Mankins (G), Matt Light (T), Vince Wilfork (DT), Ty Warren (DE), Mike Vrabel (LB), Asante Samuel (CB) - holy smokes
2008 (1 1st team, 1 2nd team, 2 TOT) - Wes Welker (WR), Stephen Gostkowski (K)
2009 (1 1st team, 1 2nd team, 2 TOT) - Wes Welker (WR), Vince Wilfork (DT)
2010 (2 1st team, 3 2nd team, 5 TOT) - Tom Brady (QB), Sebastian Vollmer (T), Vince Wilfork (DT), Jerod Mayo (LB), Devin McCourty (S)
2011 (3 1st team, 1 2nd team, 4 TOT) - Wes Welker (WR), Logan Mankins (G), Vince Wilfork (DT), Matthew Slater (ST)
2012 (3 1st team, 1 2nd team, 4 TOT) - Rob Gronkowski (TE), Logan Mankins (G), Vince Wilfork (DT), Matthew Slater (ST)
2013 (0 1st team, 2 2nd team, 2 TOT) - Logan Mankins (G), Devin McCourty (S)
2014 (3 1st team, 1 2nd team, 4 TOT) - Rob Gronkowski (TE), Darrelle Revis (CB), Stephen Gostkowski (K), Matthew Slater (ST)
2015 (2 1st team, 0 2nd team, 2 TOT) - Rob Gronkowski (TE), Stephen Gostkowski (K)
2016 (1 1st team, 5 2nd team, 6 TOT) - Tom Brady (QB), Dont'a Hightower (LB), Malcom Butler (CB), Devin McCourty (S), Matthew Slater (ST), Nate Ebner (ST)
2017 (2 1st team, 1 2nd team, 3 TOT) - Tom Brady (QB), Rob Gronkowski (TE), Matthew Slater (ST)
2018 (2 1st team, 0 2nd team, 2 TOT) - Stephon Gilmore (CB), Cordarrelle Patterson (KR)