When Bernadette and Howard are cleaning Stuart's old room they find a teddy bear in the closet. Howard sets it on a dresser and both the bear's arms are between its legs and then a second later only one arm is between it's legs.
Sheldon mentions that his Dad once lost his job for stealing from the cash register. But his Dad was a high school football coach, so there would have been no cash register where he worked, unless at some point not-yet-addressed by "Young Sheldon", George took a part-time retail job, perhaps because of money worries at home, which led to him skimming from the drawer.
When Raj and Sheldon are in the Astrophysics lab and Raj is supposedly making adjustments to the telescope, he is obviously typing nonsense as he punches the same 5 or 6 keys over and over.
Herschel discovered Uranus, but he did not give it that name. He named it Georgium Sidus, after his reigning monarch and patron, King George III. Understandably, that name never caught on outside of Britain. German astronomer Johann Elert Bode proposed the name Uranus after the Greek god of the sky, Ouranos. Mythologically, Uranus was also the father of Saturn, who was the father of Jupiter, which fits, given their respective orbits. Sheldon would have known all of that. So would Raj, as that naming story is well known among astrophysicists.