But the strong finish came too late. The Eagles (8-8) failed to qualify for the playoffs for the first time since 2007 and just the fourth time in Reid's 13 seasons as coach.
Reid took plenty of criticism this season, and heard "Fire Andy!" chants during a loss to New England in November.
Does he expect to return next year?
"I haven't thought about all of that, and I'm not going to start right now," Reid said. "I'm going to enjoy this win and the New Year."
When will those thoughts cross his mind?
"I'll think about it when I want to think about it," Reid replied. "I haven't thought about anything going forward. I'm not there."
Defensive coordinator Juan Castillo, though, is another story. Castillo was intensely scrutinized in his first season after serving as an offensive line coach for 13 years.
His defense played well during the four-game winning streak, but it's unknown whether that will be enough to save Castillo's job.
"I think the last five, six games we've done some good things, run the football against some good teams, not as good as we need, though," Shanahan said. "We talked about adding a few pieces on offense, we need a few pieces on defense, a good draft, but we made some strides. Our football team is a lot different than a year ago, and that's a positive."
One of four NFL games on the final day that had no playoff ramifications, this had the feel of a preseason game. There were thousands of empty seats at the always sold-out Linc, and there was far more interest in the Mummer's Parade on Broad Street.
The Winter Classic alumni game between the Philadelphia Flyers and New York Rangers across the street at Citizens Bank Park on Saturday generated more excitement.
"I really enjoy it here," said Grossman, who will be a free agent. "I really enjoy this offensive system and what they're building here. I'd love for this to be the place where I end up."
The Redskins were 3-1 and leading the NFC East when the teams met on Oct. 16. A 20-13 loss to Philadelphia started their six-game losing streak and knocked them out of the playoff picture.
The Eagles weren't eliminated from playoff contention until last week, and finished with the best record in the division at 5-1.
"You have to analyze everything that happened and figure out how not to let it happen again," Vick said. "We've got a lot of soul-searching to do, a lot of thinking to do. I think our opportunities will arise."
Roy Helu turned a screen pass into a 47-yard TD to get Washington within 10-7 on the opening drive of the second half.
Notes: The Eagles set a franchise record for total yards with 6,386. ... Eagles WR Jeremy Maclin had eight catches for 105 yards. ... Eagles rookie K Alex Henery finished the season 24 of 27 on field goals for the best percentage (88.9) in team history. ... Jackson became the fifth player in NFL history to have 900 yards receiving in each of his first four seasons. ... Grossman finished with 20 interceptions despite not starting three games. ... Shanahan's previous worst season was 6-10 last year and with Denver in 1999. ... Vick threw a career-high 14 interceptions. ... The Redskins' Brian Orakpo left with a left shoulder injury. He'll have an MRI on Monday.