When Vaughn falls down a rock face, his stunt double is wearing dark gray pants. When the shot shifts back to Vaughn himself, he is wearing dark blue pants. His white shirt, albeit sweat-soaked, is remarkably clean.
They fly a Bell Model 47 helicopter (max altitude was about 10K feet) on a search and rescue mission in the Himalayas where most of the mountains are over 20K feet.
Both Kuryakin (from U.N.C.L.E.) and Kingsley (the bad guy) have their own helicopters (Kingsley's has a large letter "K" on the front of the bubble). However, you can tell they used the same helicopter for both - both helicopters have the same aircraft registration number.
At Kingsley's headquarters, when he is talking to General Harman, the scene is shot from below a glass table. The standard desktop telephones before each of them are not connected to anything. Not there is no wire coming from the notch on the back of either phone.