Going to ramble, you've been warned!
I was going to pull one of the Hab-stompings in '95 or one of the pre-New Year's games against Vancouver in the late nineties, which were all fun, but especially the one in '97 (
Philadelphia Flyers at Vancouver Canucks Box Score — December 31, 1997 | Hockey-Reference.com): lots of goals, including from the scrubs, utter territorial domination, and real anger -- Gino Odjick would have fought everyone if they'd have let him, and was just out of control; this clip shows two of the dirtier sucker punches you'll see and helps to illustrate the nonsense that Lindros had to go through on a nightly basis (whereas Gretzky and Lemieux were always protected and treated with kid gloves):
(outstanding leadership from Messier captaining that team, lol).
One that 100%, no fudging, should have been a win was the game against Calgary with the first (only?) application of the 'Avery Rule' (
Calgary Flames at Philadelphia Flyers Box Score — November 26, 2010 | Hockey-Reference.com), applied incorrectly against Chris Pronger -- my favorite example for why you should never, ever give a ref the benefit of the doubt, or trust that they're treating everyone with equal fairness. Almost had standings implications, as the Flyers only won the division on a tie-break instead of outright.
Another Pronger highlight was the regular season matchup against the Hawks a few months before they met in the Final (
Chicago Blackhawks at Philadelphia Flyers Box Score — March 13, 2010 | Hockey-Reference.com). I remember it as an exciting, fast, crisp game from start to finish and a milestone in the development of the modern game. Chicago had turned a lot of heads the season before and would have been a lot of people's 'Western Conference Team'; for me at that point it was much easier to enjoy them shredding us in the neutral zone.
One moral victory, if you'll permit it: The 'Stall Game' against the Lightning says so much about the ethos of the club, reflected in Lavy's smirking machinations or even Neilson, Keenan, Shero -- we're going to do it our way even if it's never been done before, even if we have to break the game and work with the pieces. I was just cackling watching that one. The hockey world was somewhat split, but you'd better believe most were secretly thankful for the courageous stand against backsliding.
The Ottawa PM-fest will probably be mentioned ITT but I remember it largely as frustrating Peak Clutch-and-Grab.
Ultimately my pick is the second-to-last regular season game against the Pens in April 2012 (
Philadelphia Flyers at Pittsburgh Penguins Box Score — April 1, 2012 | Hockey-Reference.com). It had the same script (Pittsburgh strikes early, as they often did against us, followed by a glorious Flyers comeback and then just pouring it on) and got plenty wild and unsportsmanlike. It's the game when Bylsma sent someone to run Briere at the end of the game, Lavy and Tony Granato stood on the boards and Pierre needed an adult, and Hartnell did the Hulk Hogan impression -- on April Fool's Day! Incredibly satisfying domination given the bad behavior; it showed one team deeply, deeply in the heads of another and was a precursor to the playoff series we all knew was coming (and might as well be included with the memories of that one).
Whew!