"Rocketwarrior":
How much are you planning to spend??
And would this be a Front Loader??? Or a Top Loader???
Since you do not need any fancy settings or do not care to impress anyone, then it's safe to say that Miele is out of the conversation.
If it's a front loader you are seeking, then I would probably seek an entry-level Frigidaire set (or the Sears Kenmore version of that same set). You should be able to get the entire set for about $1,100.00. Make sure that your area has some kind of Energy Star program going on. You may qualify for a rebate (which will put some teeth into the price of the washer) and may be able to get the washer for below retail with the rebate. And I would also watch and see if the washer is on sale as well, and use the rebate with that as well.
If it's a top loader that you are after, then maybe you should look into obtaining newer Speed Queens (though I haven't heard anything about them, so I would ask around before making a commitment to them). If not, then a Whirlpool Direct-Drive (as well as the Sears Kenmore versions and models from Roper, Ingis, Estate and Maytag) set should do you JUST fine. From past experience with a 1990 Direct-Drive Kenmore that I have used for 17 years, the Whirlpool Direct-Drives are reasonably quiet. So you don't have to get an Oasis in order to get a reasonably quiet washer. Whirlpool (and Sears Kenmore) have mid priced washers with noise reduction packages that are available for as little as $550.00.
The Whirlpool (and again, their brand constituents) made dryers provide a tremendous bang for the buck, and are great for the money.
Good Luck and Happy Shopping......
--Charles--