I think Mills' victory in the 1964 10,000 meter finals is the single most thrilling moment I've ever had watching the Olympics -- and (as my screen name suggests) I am a huge fan of the games.
Going into the race, the US had never done anything at that distance, but there was hope that Gerry Lindgren could challenge world record holder (and pre-race favorite) Ron Clarke of Australia. Mills was an afterthought -- he had never run better than 29 minutes (45 seconds behind Clarke's record time). The TV announcers gave him no props -- they never mentioned that he was a full-blooded Souix indian or an officer in the Marine corps.
But when the race started, Lindgren rapidly fell behind, while Mills stayed in the lead pack with Clarke and a trio of African runners. For awhile, it looked like he was a rabbit, in the lead to set the pace while Clarke and the real challengers just coasted behind him. That appeared to be the case as they started the bell lap and Mohammod Gammoudi of Tunisia blew past him in the lead, giving him a little shove as he went by, causing Mills to stumble. Clarke used that moment to pass him. Mills and Clarke dueled down the backstretch for about 50-75 yards while Gammoudi opened up a 15-20 meter lead. Coming around the last turn, dodging thrrough runners being lapped, Clarke broke free from Mills and began to close on Gammoudi. In the final 50 yards, NBC announce Bud Palmer is calling Clarke's bid to catch Gammoudi when you hear NBC analyst Dick Banks starting screaming "LookatBillyMills! ... Look at Mills" . Banks fell into incoherent screaming as Mills exploded past Clarke and Gammouldi -- looking like he was shot out of a cannon.
Okay, I found this video of the moment on youtube. I think it's the original call.
Anyway, a great, great moment. BTW, Mills ran the marathon two days later and finished a very respectable 14th.