Mama to DS (5) and DD (2)
Subbing, because my second-hand washer is in dire need of replacement and I also hate front loaders.
I'm no help though. I usually buy them used and they last long enough.
We bought a middle of the line Sears Kenmore washer and dryer set when we bought our house 12 years ago, and they still work great. I had no kids for the first 6 years, and have 2 now, so they get used frequently. They have never broken down on me, so I can easily recommend them.
I second the Kenmore recommendation. Ours is a front-loader, but we have been very happy with it, and it has had no troubles that weren't related to clogged drains or super-high water pressure ruining valves. It still runs quite well after 7years--like I said, no repairs related to the washer itself in all that time.
I would be very likely to purchase another washer from Sears when it comes time for a replacement. Remember, though, Kenmore is actually re-branded. Many of its washers are made by Whirlpool, among others.
Give me a few minutes while I caffeinate.