Genesis (1) - September 13, 1956 - S1-E1
Revealing mistake: Tom/Sam's wife and her reflection on the mirror do not match. The reflection moves her head, but the real person does not do that. (00:06:40)
Star-Crossed - June 15, 1972 - S1-E3
Revealing mistake: Sam stares at himself in the mirror and takes out his wallet to determine who he's leaped into. But the "reflection" in the mirror lowers the wallet and looks back up before Sam does. (00:05:20)
The Right Hand of God - October 24, 1974 - S1-E4
Revealing mistake: As Sam looks in the mirror, the trainer's reflection puts its right hand on Sam's right shoulder a split second before the camera view hand.
Double Identity - November 8, 1965 - S1-E6
Revealing mistake: Sam's reflection character turns around too slowly in the mirror at the beginning of the episode.
Play It Again, Seymour - April 14, 1953 - S1-E9
Revealing mistake: After Sam nearly falls down the elevator shaft, the scene fades and comes back in with Sam speaking to the landlord about the incident. The landlord brushes off Sam's hat with his hand and hands it to him. The brushing motion was played in reverse first to extend the length of the action.
Play It Again, Seymour - April 14, 1953 - S1-E9
Revealing mistake: Sam opens his left hand when talking to Al at the beginning. His reflection does not. His reflection just points his finger.
Play It Again, Seymour - April 14, 1953 - S1-E9
Revealing mistake: Sam is getting shot at in the aircraft hanger. He hides behind a yellow machine and a bullet hits it. The bullet produces a flash but leaves no mark where it hits. A real bullet would have left a gash at the least.
Chosen answer: Per the Quantum leap page at http://www.scifi.com/quantum/episodes/season5.html. 8 August 1953: An enigmatic leap lands Sam in a Pennsylvania tavern, as his own grown self on the day of his birth. As Al and Gushie work frantically to locate him, Sam befriends a wise bartender (popular character actor McGill, who'd appeared in a different role in the very first "leap") and a group of coal miners. As a host of familiar-looking faces pass through the bar - with different identities than Sam remembers - Sam ponders his life of leaping with Al the bartender, who tells Sam he controls his own destiny. Pressed for more, Al the bartender simply shrugs and says, "Sometimes, 'that's the way it is' is the best explanation." Sam realizes he must right at least one more wrong before he can go home, and leaps back to tell Al Calvavicci's wife Beth (from "M.I.A.") to wait for Al, who will survive Vietnam and come home to her. The closing title cards state that Beth and Al have four daughters and will shortly celebrate their 39th wedding anniversary ... and that Sam Beckett never returned home.
Boobra