espresso machines - too cumbersome and big on the worktop, and hard to clean up, and only makes a small cup. I like a mug of coffee, and I don't like having to transfer a tiny cup of espresso in to the mug and add water. It's just another cup to wash up!
Aerobie press - messy and hard to get it right, and it uses twice as much coffee as any other method.
french press/cafetierre - good coffee but hard to clean afterwards (lots of messy grounds to try and rinse away), and it tastes a bit "cloudy" because you don't filter the very small grains out.
All the above methods mean you have to wash out the equipment and clean all the messy coffee grounds out of your sink.
By far the easiest and best way to make a mug of coffee is to use a plastic cone, with a filter paper in it, and park it on top of your mug. Then add freshly ground coffee, and pour hot water through. At the end, you simply throw away the filter paper. No mess, and you get a good, "clean" mug of coffee.
The only slight downside is that the water doesn't sit in the cone very long. It starts to drain through as soon as you pour the water in, so the cooffee doesn't develop the full flavour you get in the French press.
I've been racking my brains to fid a decent way of slowing the water flow. Blocking some of the cone holes is the best I came up with, but it's not ideal.
This clever dripper solves that problem. The water is held in the cone, building up the flavour, until you decide to release it directly in to your mug. You get a fuller flavour than the normal cone method (because water is in contact with coffee longer) and you still have the convenience of smply throwing the filter paper/grounds straight in to the bin.
Better tasting coffee, clean sink. What more do you want?