I posted in the other coffee thread too, but it doesn't get much simpler than the
Vietnamese style compressed drip system:
1) Put water on to boil
2) Put grounds in filter, screw on damper to snug-tight
3a) (optional) If you enjoy your coffee true Vietnamese style, add sweetened condensed milk to coffee cup
3b) Place filter over coffee cup.
4) Pour boiling water into filter. When it's all passed through, enjoy!
The filter is all metal, so the only waste is the grounds. I put the lid under the filter while I drink my coffee so it catches the last couple of drops of coffee that always drain out slow, and by the time I'm done with breakfast the grounds in the filter are dry enough that they're fairly easy to knock out with a few taps over the trash bag. A quick wipe with a paper towel, and I'm done.
If brewing multiple cups of coffee, you'll either have to deal with slightly damp grounds (a bit more wiping with the paper towel), but I used to carry a second filter set when my wife was along so we could brew two cups at the same time.
I came to coffee very late (relatively) in life - didn't drink it much in college except for the chemical effects during finals, etc. and only drank it occasionally at local vietnamese soup (Pho') restaurants where the traditional pairing was Ca Phe Sua' Da (Iced vietnamese coffee). Somewhere long the line I found this was really the only style of brewing I liked, so now I drink it hot when camping (Ca Phe Sua' nam), and hot or iced at home.
For folks that prefer regular drip coffee, here's the new system I just built for the "big family mess kit":
A GSI collapsible filter holder (holds standard #4 filters, collapses to 1" tall)
And the hot/cool item from Overland Expo 2011, a
Hydroflask double-wall insulated bottle. Brew the coffee directly into the flask, which holds heat ALMOST as well as my much more fragile traditional glass thermos, and the wife can enjoy her fancy drop coffees all morning (and longer if she goes slow), just like at home.