I tie comparaduns, which use fine, light deer hair (sometimes called coastal deer hair, the stuff I bought was bagged as "comparadun hair") splayed over the body.
I've also tied up a bunch of parachute flies, these used white poly yarn for the post and a cream neck hackle for the wing. I've used a yellow high lighter to make the posts hi-vis.
I also tried posts from antron and calf tail. The poly works better.
Finally, rusty spinners which use the same white poly yarn as the posts.
These were the instructions I used for the comparadun, its definatly easier than the way I was taught, although perhaps not as sturdy:
http://globalflyfisher.com/tiebetter/comparadone!/
Tying a parachute:
http://www.invictaflies.us/Articles/parachute%20dry%20flies.htm
Tying a rusty spinner:
http://www.gmtrout.com/flyofthemonth/78.html
This differs from what I was taught, but its close enough. I use either four microfibbets or two elk hair for the tail and either split them apart by wrapping between the hair and the fly, almost figure 8 style, or by leaving the tag end of the body's thread loose then pull it up and through the hair to split. I also didn't use the foam wing case, I just figure-8'd dubbing over top of it to build the body up.
Finally, I use an orange egg sack both some of the spinners and the parachute flies. I could've done it on the comparaduns, but I didn't.