I'll second that, with the AP even decaf folger's will brew a cup that I really enjoy.
At the risk of sounding insane, sometimes my biggest motivation to stop working and go to sleep at night is that I can have a cup of coffee in the morning. I actually just confided that fact to my wife, and she empathized, so either we're both insane or it does indeed make very good coffee.
I find that with drip coffee, it's much harder to tell the difference between bean varieties and burr ground vs conical. The AP brings out the flavor as intensely as you can stand.
I find that areopress tends to make cleaner coffee - if that makes sense - and that the flavours come out more. Especially certain kinds of coffee it's nice to let them brew longer - french press / cafetiere style. The areopress can do that easily (inverted style), but the pour-over ones can't.
If you want, you can use an areopress pretty similarly to a pour-over, by simply not pushing down the plunger and letting gravity pull the water through.
I've had only one issue with them, in that the inside has become scratched and discoloured, which somehow messes up the taste as well (after about 2 years use).
A totally worth-while purchase. I'm now on my second one, hopefully this lasts longer, but if not, I'll just buy another one in a couple years.
One thing I like is how manual the process is - I can make a much weaker cup of coffee for guests who don't like it so strong without it becoming bitter. For different types of coffee, I can brew it in different ways.
And it's odd, but even cheap pre-ground supermarket coffee tastes hugely nicer with the AP. These days, I buy pretty much whichever the cheapest fairtrade coffeebeans the supermarket has, and grind enough for each cup, and it tastes great.