2006 Patriots, 2006 (?) Texans still had a lot more.
For comparison, 2006 Pats on IR:
Don Davis, Barry Gardner, Randall Gay, Tebucky Jones, Josh Miller, Garrett Mills, Mel Mitchell, Patrick Pass, Junior Seau, Ray Ventrone, Ken Walter, Gemara Williams, Eugene Wilson, and Billy Yates.
2008 Pats on IR:
Tom Brady, Sean Crable, Rodney Harrison, Laurence Maroney, Ryan O'Callaghan, Bo Ruud, Kenny Smith, Barry Stokes, Terrence Wheatley, Tank Williams.
Obviously quantity v. quality.
The 2005 Eagles were pretty bad, their post-Super Bowl curse too:
2005 Eagles:
Correll Buckhalter, Sean Considine, Hank Fraley, Paul Grasmanis, Todd Herremans, Justin Jenkins, Dirk Johnson, Jerome McDougle, Donovan McNabb, Todd Pinkston, J.R. Reed, Greg Richmond, Lito Sheppard, Jason Short, Thomas Tapeh, Tra Thomas, Brian Westbrook, plus the whole T.O. saga.
2006 Texans:
Roc Alexander, Jameel Cook, Lionel Dalton, Domanick Davis, Mike Flanagan, Travis Johnson, Alfred Malone, Jerome Mathis, Chris McKenzie, Seth Payne, Wali Rainer, Sage Rosenfels, Lewis Sanders*, Charles Spencer, Ben Steele, Anthony Weaver, and Zach Wiegert.
2006 Jaguars, too:
Dan Connolly*, Donovin Darius, Brent Hawkins, Reggie Hayward, Brian Jones*, Greg Jones, Byron Leftwich, Elton Patterson, Mike Peterson, Chris Roberson, Nick Sorenson, Pat Thomas, Mike Williams, and Tony Williams.
* = future Patriot
2007 Bengals:
Ahmad Brooks, Dan Burks, DeDe Dorsey, Aaron Elling, Eric Ghiaciuc, Eric Henderson, Kenny Irons, Herana-Daze Jones, Adam Kieft, Ethan Kilmer, Lemar Marshall, Caleb Miller, Tab Perry, Brandon Williams, and Madieu Williams.
2007 Texans:
Jon Abbate, Roc Alexander, Shawn Barber, Glenn Earl, Ahman Green, Brandon Harrison, Scott Jackson, Cedric Killings, Jerome Mathis, Steve McKinney, Dunta Robinson, Jason Simmons, Chris Taylor, Fred Weary, and Chris White.
2008 Ravens:
Kyle Boller, Prescott Burgess, P.J. Daniels, Dwan Edwards, Tavares Gooden, Kelly Gregg, Scott Kuhn, Dawan Landry, Derrick Martin, Chris McAlister, Quinn Sypniewski, Kelly Talavou, Demetrius Williams, and Marshal Yanda.