I've gotten some good advice from this group, and thought I'd share my
recent experience. I had to replace my 11 year-old Whirlpool washer
(we push our washer pretty hard - we probably average 3 loads a day),
and naturally my main concern was reliability, balanced with low
cost. Here's what I found:

Consumer reports 2 most recent repair frequency ratings (March 06 and
Jan 07) put Roper at the top, at 6%-7% . Whirlpool and GE were in the
next tier at 9%-10% (that's percentage of reported machines that ever
needed a repair). This is by far the most useful information CR
provides, since it's based on thousands of actual consumers reporting
their experience. The rest of the stuff they report on is of dubious
value. I read the reports, but don't always agree with their
conclusions or opinions. It's funny, because they focus a lot on
efficiency of water and power usage, but also freely admit that the
extra cost for the most efficient machines will take many, many years
to recoup.

After a bit of research (mainly here), I found that Roper is
apparently made by Whirlpool. I had always associated Roper with
bottom-of-the-line el-cheapo appliances, but I gave them another look,
especially after seeing the CR reliability numbers. Whaddayaknow, the
Roper at Lowes said "Roper by Whirlpool Corporation". So I looked at
it a bit closer. Looking into the tub was almost like looking into my
old Whirlpool. I pulled the agitator cap off, and there was the same
agitator dog assembly underneath. Looking down below, I saw what
looked like the same pump/motor/direct drive assembly, and the basic
innards looked almost identical. To top it all off, it was the
cheapest washer I'd looked at so far! I bought it right there and
hauled it home. And this wasn't the bottom-of-the-line 1-knob 2-cycle
cheapo either. It had 4 water level settings, 3 temperature settings,
and 3 main cycles: Normal, Permanent Press and Gentle. The only
feature we gave up was the nice-to-have-but-in-reality-little-used
PreSoak cycle. No, it's not a fancy, feature-laden machine, but it
has everything we normally use with no fluff. Cost? $275!
Comparable Whirlpools and GEs were going for $50-$100 more, and
outside of a couple of minor features, the main thing they had going
for them was that they looked sharper and more modern. The Roper
looks more plain and utilitarian. If we were hosting dinner parties
to show off our laundry machines, then the looks might be worth
something, but they pretty much spend their days alone in the laundry
room. Big deal. And to top it off, the Whirlpool it replaced cost me
$410 11 years ago! (Have appliance prices really gone down that much,
or did I pay too much back then?)

I have theory about the reason Ropers rated higher in reliability than
their Whirlpool brethren: I suspect most Ropers sold have fewer
features - less stuff to go wrong. I bet a good chunk of the
Whirlpool repairs reported had to do with fancy new features -
electronic panels and such. I don't know, but maybe Roper only sells
basic machines. I read a couple of comments here about Ropers being
more simple machines, and that was a big factor in me giving them a
second look.

I had also been considering a GE (Sam's club had a nice model at a
good price), but since I wound up with a Roper, I already know how to
replace such common part failures as the pump or motor coupler (in
fact, I scavenged all the useful parts from the Whirlpool before
hauling it to the recycling place). Since I'm not an appliance
repairman, there's always a learning curve for me the first time I
have to repair one - this way, the first time something goes out, I'll
be able to fix it in a jiffy.

I hope this is helpful to someone in the future. I'd be interested
to hear any comments or other opinions.