General anesthesia isn't just one size fits all for every type of surgery. Depending on the surgery it can be anywhere from one drug to put you to sleep and some local anesthesia for the pain. Or you might receive a big cocktail of sleep inducing drugs along with narcotics for the pain. And there are different cocktails depending on the surgery and the individual having the surgery. As well as some preference of the anesthetist.
So don't think one experience where you were good to go that afternoon will be true for all.