When Leonard is cleaning the bathroom mirror, the height at which he holds the squeegee changes between shots. Also, the toothpaste on his lips disappears in one shot then reappears in the next.
When Priya steps on Raj's foot, he raises his head and opens his mouth to gritted teeth. It then cuts to a different angle and he does this same motion again.
When Leonard pulls the imaginary arrow out of his quiver, he stabs Sheldon with the wrong end.
Incorrectly regarded as a goof: nation-wide prohibition of alcohol in the US ended in 1933; alcohol sales are regulated by the individual states. California allows sale of beer, wine, and liquor at grocery stores, convenience stores, gas stations, and warehouse clubs.
While Sheldon and Amy are setting at the bar talking about the meme and come up with the experiment you can see the camera operators legs and shoes reflected in the microwave door multiple times.
Despite Sheldon's attempts to make the Wii archery game more accurate, he was still playing incorrectly. He was pushing the trigger to release the arrow. Leonard is playing correctly by releasing the trigger to release the arrow.