You ask and you shall receive. I too could not find a source with these answers, so I decided to do the research myself.
The current 2-0 teams in 2007
NE was last 2-0 in 2006, finished 12-4 (won wildcard, won divisional, lost AFC title game to IND)
PIT was last 2-0 in 2005 finished 11-5 (Won Super Bowl - Defeated SEA)
HOU has never been 2-0 until 2007 (no postseason record)
IND was last 2-0 in 2006, finished 12-4 (Won Super Bowl - Defeated CHI)
DEN was last 2-0 in 2003, finished 10-6 (lost wildcard to IND)
DAL was last 2-0 in 1999, finished 8-8 (made playoffs, but lost to MIN in wildcard)
WAS was last 2-0 in 2005, finished 10-6 (won first playoff game and then lost divisional game to SEA)
DET was last 2-0 in 2004, finished 6-10 (did not make the playoffs)
GB was last 2-0 in 2001, finished 12-4 (won the wildcard and lost to STL in the divisional game)
SF was last 2-0 in 1998, finished 12-4 (won the wildcard and lost to ATL in the divisional game)
The current 0-2 teams in 2007
NYJ was last 0-2 in 2003, finished 6-10 (did not make the playoffs)
BUF was last 0-2 in 2004, finished 9-7 (did not make the playoffs)
MIA was last 0-2 in 2006, finished 6-10 (did not make the playoffs)
OAK was last 0-2 in 2006, finished 2-14 (did not make the playoffs)
KC was last 0-2 in 2006, finished 9-7 (lost to IND in wildcard)
PHI was last 0-2 in 2003, finished 12-4 (Had bye week in playoffs, won divisional game, lost to CAR in NFC Championship game)
NYG was last 0-2 in 1996, finished 6-10 (did not make the playoffs)
NO was last 0-2 in 1997, finished 6-10 (did not make the playoffs)
ATL was last 0-2 in 2002, finished 9-6-1 (won wildcard and lost to PHI in the divisional game)
STL was last 0-2 in 2002, finished 7-9 (did not make the playoffs)