If you look at how Andy Reid has fared against the Patriots, he's actually kept most games pretty close. His record of 2-6 isn't great but he's 2-1 now as the Chiefs coach against the Pats. The only real blow out was the first matchup in 2003 when the Patriots beat the Eagles 31-10. Here's the rest of the match-ups:
February 6, 2005: Patriots 24, Eagles 21 - Super Bowl, Eagles came within 3 with 1:48 remaining and McNabb threw a int.
November 25, 2007: Patriots 31, Eagles 28 - AJ Feely was the starting QB and threw 2 ints on the final two possessions.
November 27, 2011: Patriots 38, Eagles 20 - Again starting backup QB Vince Young
September 29, 2014: Chiefs 41, Patriots 14 - Monday Night game
January 16, 2015: Patriots 27, Chiefs 20 - Playoff game