Definitely the most unlikely play in franchise history. I've seen almost all of them, although 1966 is fuzzy which probably makes sense because I was 7 years old.
It was awkward for a few of us because I was invited to watch the game at the house of a guy who sits next to me at Canes games. There were 5 of us there, 4 rooting for the Dolphins but the host had a teaser on New England -1.5 points.
Ouch. You can just imagine how the ending of the game played out, while 4 of us are cheering in disbelief and he's in disbelief in the opposite direction. I really couldn't react the way I wanted to, given that backdrop. For one thing, my tummy was full of his wife's cooking.
Fortunately he's a veteran gambler and handled it as well as could be expected: "Just add it to the list (of bad beats)."
All of us agreed it had to be the worst defensed play in NFL history. One Patriot after another was incredibly passive. Once Van Noy missed the tackle everyone else either backpeddaled or wandered or stumbled.
I'll always insist the most meaningful play in Dolphins history was the deep crossing pattern from Morrall to Warfield in the middle of the 4th quarter in the opening round 1972 playoff game hosting Cleveland. The offense was doing nothing and we were in dire jeopardy of an incredibly embarrassing defeat that would define the franchise to this day. The Orange Bowl crowd was silent and stunned until that play, on a dreary gray overcast day. Then it was a surreal jolt of energy and Kiick scored the winning touchdown a handful of plays later.
Along with the Dick Anderson play, another one from the glory era was Yepremian's field goal to defeat the Chiefs in the legendary double overtime game on Christmas Day. It was so incredible when that game finally ended, and in our favor after the Chiefs had some many opportunities to put it away.