Wet flies are a fun, active, and effective way to catch fish. I will typically fish 2-3 at a time as long as regulations permit it. The only time I seem to run a single wet fly is during a hatch when I can see or have a solid idea of where the fish I am targeting is located. Since you specifically stated 6 in the original post I will give you my person breakdown. (My location is SE PA and due to personal preference most are tied on a size #14 hook. I found with a #14 I can tie them sparse if I want to represent something smaller or fill them out a bit thicker to represent something larger.)
1.) Peacock herl and black hackle. I lay down a single thread base and tie in a single peacock herl (if you tie your own, look for a "thinner" herl that won't flare out much on the hook) and before wrapping the herl add a slight amount of cement to the thread base for durability. I usually oversize the black hackle by one hook size.
2.) Soft hackle pheasant tail. I include a 3-4 fiber tail, though I have seen it omitted. For the thorax, I use the synthetic peacock Ice Dub by just rolling a few fibers onto the waxed thread since this helps flare the hackle a bit for more movement and I don't have to worry about durability. I prefer using a darker brownish partridge feather as opposed to the lighter tan/white feather (If you own a skin you'll see what I mean).
3.) Yellow and partridge. I tie in a tail of some webby fibers from the bottom of the partridge feather I use (the part that is usually stripped off and discarded) no more than a hook gap in length. The body is simply my yellow tying thread and for a thorax I will take a few strands of that webby fiber and dub them onto my thread with wax (once again I believe it helps to flare the hackle a bit). In this case I use the lighter tan and white partridge feathers for my hackle.
4.) Light Cahill. If you are familiar with Fly Tyer magazine they had a "simple" way of tying these in a past issue that I use and haven't noticed a drop in effectiveness. In short, tie in a cream tail, cream body, rotate the vise to tie in a small clump of cream hackle fibers on what ends up being the bottom, then rotate the vise back to normal position and tie in a clump of fibers as the wing. There is nothing wrong with the traditional version, just tying preference.
5.) Dark Hendrickson. Tied same as the Light Cahill above. With the grey body and reddish throat fibers it kind of always reminded me of a wet fly version of the beloved adams dry.
6.) Gold Hornberg. I know some people think of this purely as a streamer style pattern, but I highly recommend tying a smaller wet fly version for your box (no need for a 2x-3x long hook, use the standard as I stated at the beginning of my post). There is no need for a tail and stick with a smooth flat tinsel body. For the top wing I use a few fibers of yellow bucktail and a few fibers of yellow marabou on top of the bucktail (it seems to help prop up the marabou a bit, just make sure not to over do the wing with too much material). Instead of the classic silver feathers on the sides, I use the yellowish gold. I can't explain why I have better success with the color change up, but the fish have voted and I don't even bother tying them the classic color. I still use standard grizzly color for the front hackle.
*If I could add an honorary 7.) it would be a gold-ribbed hare's ear wet.
On a side note, I've noticed even small fish striking vehemently at wet flies whether they are being drifted, swinging, or dangling in the current down stream of you (I usually cast quartering upstream so I can fish out all these methods each drift). Keeping this in mind, the size 14 hooks allow me to easily use 4x tippet. I fish some heavily fished waters and the catch rate is still enough to prevent me from going any lighter. I also use an 11ft 4wt rod. The length isn't too fatiguing since I'm not holding my arm up high sticking it all day, but the length is crucial for playing out my above scenario.