Try coffee brewed in a French Press (bodum or other brands). Use a coarser grind (like for percolator), steep for 3 minutes, press the filter plunger down, enjoy. Avoid the one/two cup size brewer, buy a 5 or 8 cup size French press, they are easier to clean and make two cups perfectly, too.
If you use a pour-over filter like John suggested, use a coarser grind than "melitta fine grind". For better tasting coffee, use a regular drip grind and 2 level tablespoons of coffee per cup.