The No-Hackle style is good for slow waters. This is good for big still pools. In still or slower water the trout has more time to inspect these flies and so the imitations must look real. This one can imitate small mayfly duns like tricos and blue winged olives
The Comparadun is good for slow waters also. This is also a mayfly imitation. It can also represent larger insects like. Cahills or Hendricksons. The wings can be elk or deer hair, which make it float good
The Parachute style is good for imitating bigger mayflies on slow water. The body of it will lie in the film on top of the water, supported by the elk or deer hair wings. When cast, this style of fly usually lands upright-- great advantage
The Catskill-style is good for medium moving water. The way the hackle is wrapped is what makes it ride so good in the currents. The 3 hackles make it better. It is the most widely used of all dry flies
The Thorax dun is good for medium moving waters. These are tied differently than the Catskill, letting it ride off the water at a better angle. It is good for picky trout that won't hit any other dry fly
The Reverse style is good for medium moving waters also. It is used to fool trout that are picky or get a lot of fishing pressure. These are supposed to be hard to tie, but I have never tied one
The Wulff style is great for fast moving waters. The hackles can be tied with white color poly yarn to make them easier to see. These types of flies are easier to see in fast moving waters because of their size also
The Before & After style is good for medium to fast moving waters. It is not as sturdy as the Wulff but it is more sturdy than the Catskill type. Not a highly fished fly, but it has good qualities to it