The Eagles have drafted 13 players in the 30s over the past 35 years. By far the best player they've grabbed in that range in the 21st century is tight end Zach Ertz, taken 35th overall in 2013.
Others since the turn of the century would be as follows: WR Todd Pinkston, 36th overall, 2000; DT Mike Patterson, 31st overall, 2005, and WR Reggie Brown, 35th overall, 2005; OT Winston Justice, 39th overall, 2006; QB Kevin Kolb, 36th overall, 2007; and S Nate Allen, 37th overall, 2010. Of those, Patterson and Kolb were the Eagles' first selections in their respective draft years.
Going back to 1983, in the 30s: LB Barry Gardner, 35th, 1999; DT Bruce Walker, 37th, 1994; CB Eric Allen, 30th, 1988; RB Anthony Toney, 37th, 1986; QB Randall Cunningham, 37th, 1985; and S Wes Hopkins, 35th, 1983.