Don't look at a machine by its name, but by it's model. What model of the brand is the most important. Every brand name appliance has had trouble, but usually it's with certain models and the years that they were manufactured. Maytag has had the most recent issues with models and the years they were built. Including the earlier model Neptune or the L shaped Refrigerator. These two units have caused a lot of trouble for the consumer, but if you bought a different model from Maytag that wasn't the early neptune design or the L shaped refrigerator you would have never noticed a problem with the Maytag Brand. Same goes with GE, Whirlpool, and Frigidaire. All have they're model issues, but all are good brands. All brands have their lemons as with everything else made in the world. Who has the best reputation? Well Whirlpool and GE are at the top of our list, but Frigidaire will cost you less at the store and they also are very well built machines.
The machine that usually costs the less to fix is? Whirlpool and then Frigidaire. GE will cost you more to repair because the cost of replacement parts usually run more expensive through GE. This is not controlled by your Tech or the Service Company. The cost of replacement parts come from the manufacturer and GE is the most expensive along with other companies like in many cases Maytag (Now owned by Whirlpool). Any foreign made brand such as LG, Samsung, Bosch, or Miele will usually cost you more because of the expense of replacement parts.
So who is the best? As we say its the model not the brand. Get on consumer reports that can track at least a 5 year trend and that will tell you the best brand and its model on the market. If you look on the new technology consumer reports that only extend a couple of months or just one year beware they haven't been out of warranty yet and aren't costing the customer a dime to fix. What you want to find out is how does the machine operate when ran over consecutive years not just one year. And how much is it costing the customer to keep the machine running.