The Anti-Faro
all the others are not really advance,
clip shift- bring card from bottom to top
raise rise- push one card in and push one card out.
diving board double- bending the card and releasing it to launch it in the air.
Granted those moves are hard, at first, to learn. Once you know them they become more and more easy.
The anti-faro is "advanced" because of what is happening. You are springing the cards, and using air pressure and the shape of the cards as they fall to make them land alternating to be able to do a reverse of a faro.
Even if you learn how to do it, you will never get it down every time because it it is a science that has not been perfected yet.
P.S. this is my opinion, I'm not saying that what i just said is the only answer.
Perhaps I missed something, but I actually don't believe that was the literal point of the original post. Of course there are countless of extreme sleights in card magic. Of course there are knuckle-busting techniques and knacky moves that require years of practice and constant experimentation. But is that what actually makes a sleight "advanced?" Is that what makes a move difficult to execute?
Also... if the world's most advanced sleight is one that you don't ever plan on using, or even use regularly at all, is it really that difficult? This is why I believe moves like the double lift and pass are more challenging. They're moves that everyone use all the time, but rarely do well or invisibly at all. Even the most dubious methods are often tainted by poor technique and bad timing. The simplest sleights are often the most difficult to perfect among experienced card handlers.
RS.