If you want "American" coffee, the best bold flavor is from a percolator. I like the older ones as they are Stainless and well made. I would look on ebay, and you can find one for rather cheap.
If you only want a single serve or two vs a pot, I would say go with the cone drip method using unbleached paper and adjust your grind.
If you need a timer, I did here decent results from a Zojirushi thermal carafe. I also had a HAmilton Beach model that had a feature called "Flavor control", this held the water longer to saturate, and I did get great results. I would think Frech Press is also great, but you have to stir, and then wait and press, and sometimes by the time you drink it, it is a bit less hot.
There is a Cuisine Art with built in grinder.
I would not buy a machine that does all things OK, I rather have a very good Espresso machine and a very good coffee maker, and even better grinder for the job. But I understand where people have to compromise for space and convenience.... I rather not do this for coffee if I can help it. In the past year. Having said all this, oddly, I have cut coffee almost entirely out. I now have a paper cone drip once a week or less. Much better on the steady hands :-)...AND as Rob says, the processes are just over rated for the reward...At least once you have reached that Coffee Nirvana at some point.