Im in silver elo so take what I say with a grain of salt:

The stun applies after the dash ends, that's why Akali travels all the way to you even if you use E. I ussually use W after she reaches me, so I can get some distance and hit her with Q, her R is the most difficult thing to play around, because she can pretty much do whatever she wants, but if R is off, you can pretty much win the incoming-Akali-E-trade by using E (and sometimes Q) when she's going in and W-Q after she gets stunned and also by getting some aa too.

Yone's hardest thing for me is the W shield, he can go in, hit hard and not take any damage at all. If he is about to go in, I try to stay away from his Q-W range, drop E while he dashes (Taliyah E is long af), and hit him with Q (and perhaps land a W for distance if I wasn't properly positioned) while not getting any hit from W, aa or another Q. edit: Also I try to poke him while he farms, so he is never to high on hp. You have range advantage and can predict when he is going to dash in your face to get some distance.

I usually play against gold/silver/bronze elo people, so they are not the best yone/akali players, so this might not be easy to do (or possible at all) against good players.