I've only had general anesthesia twice. The first time I was six years old, and all I can remember is throwing up. The second time, it was propofol, and it was just like waking up normally.
However - a couple of years ago I had hand surgery, and was given a nerve block, and Tylenol 3s. The doctor warned me I might be a little loopy for a while. I swear I was completely cogent and coherent -
Until I looked a few days later at my iTunes, and discovered I'd spent my post-surgery recovery time downloading music. Medieval Norwegian folk songs, to be exact. Then forgot all about them.
(Actually, it was a darn good album. I had good taste, even if loopy.)