The road to hell...
Initially, Maytags intentions were good, both for Maytag, and the consumer. In the late 80's, Maytag set out to complete their product line to include all items that a consumer needed/wanted in their home. Timing seemed excellent, as many smaller companies were looking at hard times and faced extinction or buyout.
Enter Maytag, who goes on a "wild shopping spree" and purchases the following brands: Brown(Ranges), Hardwick(Ranges), Magic Chef(also ranges, but also pretty close to a full product line, including

, Dixie-Narco(a Magic Chef brand that manufactures vending machines, Norge(Washers and Dryers), and Hoover(floor care products). Now with the facilities to build all the products that they wanted, Maytag began to intergrate the products into their line. The biggest fanfare came in 1988 when Maytag introduced "their" new refrigerators. (As mentioned by Mixfinder previously)
This all took place around the time that the last of the Maytag family relinquished the reins of the company to an outsider. As you know, a family owned company usually doesen't do well in the hands of strangers, and Maytag was no exception. The vision that the founder of Maytag, as well as his sons, had for the company of quality and dependability first, quickly went by the wayside as profits became the order of the day and short sighted management ruled.
After the refrigerator, Maytag decieded that it was time to make the Maytag brand affordable for everyone. This meant one of two things: 1, cheapen the products that made the company sucessfull, or 2, rebadge cheaper products. Maytag initially went with door #2 and rebadged the Norge & Magic Chef washers & dryers as "Atlantis" & Performa. These machines also sold under the Jenn-Air name. They were relativly good with the occasional rash of problems with "thrust bearings" and drain pumps.
Then, in about 1997, Maytag single handedly revives America's love affair with front load washers with the introduction of Neptune. With design improvements that made it superior to most front loads of the 50's, Neptune quickly started showing up in homes all across the country, despite its, at the time, outrageous price of about $1100 for the washer and about $700 dryer.
Danemodsandy gives a great account of the trouble with Neptune in a previous post. The only thing I would add to that is the problem that they also had with Motors/Motor control boards, which despite the motor being covered for 10 years, the board that controled it was not. Maytag later came up with a "Motor conversion kit" that contained a motor and board(from a new vendor) and this seemed to be a better, quieter motor. Maytag however, would not cover the motor conversion kit under warranty unless the motor itself was bad.
The next batch of problems would surface when Maytag got hungry again in about 2002. Maytag decieded to go on another shopping spree and buy Amana. This one was a little bit messier that the first round of buy outs. The biggest mess concerned Amana washers. For decades, Amana & Speed Queen washers rolled off the same assembly line in Ripon Wisconsin and Sercy Arkansas. When Raytheon announced that it wanted to get out of the appliance game, the big wigs at Speed Queens' commercial/coin-op division got together and formed Alliance Laundry Systems, and bought the rights to the Speed Queen Coin/Commercial product line. Since the Coin-op machine was identical to the domestic Amana (aside from the timer and control panel)this made for a legal issue with the purchase. The two companies finally agreed that Maytag would get Sercy Arkansas Assembly and the washer, minus the transmission.
At this point, Maytag would have been wise to drop the battle over the Amana washer, after all they already had: Dependable Care (Newton, IA), Neptune (Newton, IA), Atlantis and Performa (Herrin, IL). With 4 different laundry sets (some of which had different models with different feature combinations), the last thing Maytag needed was to battle it out over an inferior laundry system, let alone one that didn't even have a transmission with it. Greed got the better of them, and so began the end of Maytag.
With the Neptune disaster at a full boil, Maytag was busy re-engineering their precious Amana washer to accept a Herrin built transmission. The result was horrid. The machines had severe leakage problems from the main seal, which often times also damaged the main bearing. Since the bearing was pressed into the "milkstool" tripod that held the tub, the whole assembly needed to be replaced, this meant more labor costs and more part costs.
Between the class action Neptune lawsuit and the bad publicity with it and the Amana issues, Maytag was now on the recieving end of a buy out and in December of 2005, Whirlpool absorbed the Maytag corporation.
So ends the saddest chapter (so far) in Maytags incredible, proud history.