The 23 teams with the most comp picks since 1994 Tom Brady and Dak Prescott are two of the top players picked by teams using compensatory NFL Draft picks. New England Patriots 43 Mark J. Rebilas-USA TODAY Sports Tom Brady was a comp pick. Sixth-rounder. Amazing. Pages: Page 1, Page 2, Page 3, Page 4, Page 5, Page 6, Page 7, Page 8, Page 9, Page 10, Page 11, Page 12, Page 13, Page 14, Page 15, Page 16, Page 17, Page 18, Page 19, Page 20, Page 21, Page 22, Page 23, Page 24