The daiquiri is an interesting one because it will weed out easily 90% of bartenders without even receiving a drink. The number of times I have been told "sorry, we don't have a blender" is a source of great amusement to me.
I recently ordered a daiquiri from someone who didn't know how to make one. I received a delicious drink served in a coupe, but the weird thing was that it had a large spherical ice cube in it as well.