Quotes
Napoleon Solo: My name is Napoleon Solo. I'm an enforcement agent in Section Two here. That's operations and enforcement.
Illya Kuryakin: I am Illya Kuryakin. I am also an enforcement agent. Like my friend Napoleon, I go and I do whatever I am told to by our chief.
Alexander Waverly: Hmm? Oh, yes. Alexander Waverly. Number One in Section One. In charge of this, our New York headquarters. It's from here that I send these young men on their various missions.
Mistakes
When Napoleon and Illya enter the Macy's store with the Russian chairman, the woman outside with the Salvation Army is ringing her bell down by her side, but when the shot cuts, the bell is up by her head. See more...
Trivia
David McCallum recalls that in this episode, when Illya was supposed to drive a fork lift down a corridor and stop, he accidentally hit the accelerator instead of the brake, crashed through a wall and demolished the set. While he and Robert Vaughn found it a source of much hilarity, MGM's "bean counters" were reportedly not at all amused. See more...
Movie Mistakes blog
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Other great sites
The Man From U.N.C.L.E. (1964) - 40 with pictures
starring Barbara Moore, David McCallum, Leo G. Carroll, Robert Vaughn (add more)
Screenshots of mistakes that have been online for less than a year are only visible to members, but the rest are available to everyone. Don't forget to check out the picture of the day, updated daily, and the top 30 screenshots too.
Updates: 
Series 2