Continuity mistake: At the start, the cards in Sheldon's hands keep changing between shots. (00:00:40)
Rockets, Communists, and the Dewey Decimal System - S1-E2
Continuity mistake: When Tam mentions the Ku Klux Klan, Mary has nothing on her fork. When the shot changes, she's suddenly got some food on her fork. (00:15:40)
Little Green Men and a Fella's Marriage Proposal - S6-E18
Character mistake: When Dr. Bell examines baby Constance, she has the stethoscope in her ears facing backwards. Also, when Sheldon and the professors are looking at the data from the telescope, Dr. Linkletter says "what about that" and Dr. Prakash says "no, that's within the standard deviation." That doesn't make sense.
Suggested correction: Not taking anything away from the other correction, but these are two separate mistakes put into one entry.
Additionally, a "standard deviation" is a significant concept that helps scientists determine when they have actual results worth investigating.
A Stolen Truck and Going on the Lam - S6-E16
Character mistake: Missy and Paige are stopped by a police officer "just outside Baton Rouge" But in Texas, the family is told they are outside Boca Raton.
A Broom Closet and Satan's Monopoly Board - S3-E2
Continuity mistake: George invites Mary out to dinner on Friday. But while they are at dinner, Sheldon is attending his college class (with Dr. Linkletter) - which meets on Thursday.
Jiu-Jitsu, Bubble Wrap, and Yoo-Hoo - S1-E17
Continuity mistake: When Mary arrives at the bowling alley and is talking to Brenda, Brenda's hands are constantly changing between instant cuts. In some shots she's holding shoe freshener and in others it's shoes. (00:13:15)
A Tummy Ache and a Whale of a Metaphor - S2-E12
Continuity mistake: When Sheldon comes round from his op, the way he holds his cup, and the way the straw faces, changes between shots. (00:09:30)
A Stunted Childhood and a Can of Fancy Mixed Nuts - S2-E10
Continuity mistake: When Paige arrives for a sleepover, Mary closes the door, and her hand is by her waist. When the shot changes, her hand is now down against her leg. (00:04:10)
A Crisis of Faith and Octopus Aliens - S2-E3
Continuity mistake: Just after the opening titles, Mary is preparing a salad when the phone rings. Between the shot of Mary and Connie and the shot of just Mary, the position of the items in her hands changes rather drastically. (00:01:50)
German for Beginners and a Crazy Old Man with a Bat - S6-E20
Character mistake: Sheldon says that "entrez vous" is German for "come in." That is actually French.
Suggested correction: He says "eintreten."
Ants on a Log and a Cheating Winker - S7-E4
Other mistake: Sheldon (in the voice-over) says "it really brought what's his name and I closer together." The grammatically correct expression is "brought what's his name and ME closer together", and a stickler like Sheldon would not make that mistake.
A Sneeze, Detention, and Sissy Spacek - S1-E13
Continuity mistake: When the principal gets the paddle out of the drawer, he holds it in two hands. But as he goes to sit down, he is only holding it in one hand. (00:02:30)
Gluons, Guacamole, and the Color Purple - S1-E19
Continuity mistake: When Sheldon startles Connie in bed, Connie has her hands up by her head. Shot changes and her hand is now across her chest. (00:15:20)
Continuity mistake: Missy's blond and blue-eyed like her mother, Mary, but in The Big Bang Theory, she's brown-haired and brown-eyed.
A Brisket, Voodoo, and Cannonball Run - S1-E7
Continuity mistake: The root George Sr is buying is different to the one he hands the shopkeeper. Note the thickness. (00:10:15)
A Brisket, Voodoo, and Cannonball Run - S1-E7
Continuity mistake: When George Jr confronts Sr about looking for a brisket recipe, Sr has the box closed in one hand in one shot and open with 2 hands in another. (00:06:10)
A Solar Calculator, a Game Ball, and a Cheerleader's Bosom - S1-E5
Continuity mistake: At the start, when George Jr. says "4th down," Connie goes from holding her beer to drinking her beer in an instant cut. (00:00:30)
Babies, Lies and a Resplendent Cannoli - S5-E18
Other mistake: Georgie tells Mandy he'll soon be 18, in March. That same day, Sheldon says Isaac Asimov died - which happened on April 6, 1992.