We have a Kirby vacuum, and the only thing that has broken was the wheel coming off. I don't think I can recommend anything else.
We have two fridges, one a 3 year old GE Monogram, which is actually made by a commercial fridge company (forget their name) and not GE. So far it has been great. But then again, who's willing to pay $4-5k for a fridge? You will not find a new fridge with all the features people want that will last for under $3k. Another good commercial brand is Traulsen, which may require some refreshing if you buy one (used), but they are also built like tanks.
The other fridge we have is a GE fridge from the 50's. It still works. Built like a tank, no defrost (which makes it infinitely more reliable) and costs only $4/month to operate. It has the old art deco look, and pretty much everyone who sees it wants to buy it (not for sale!)
Viking probably makes the WORST fridge in the industry. Stay away at all costs! Their ranges aren't really that great either.
Our clothes washer/dryer is LG, and is just OK quality. Washer broke once and dryer's sensor dry is usually wrong. If the washer breaks, I am buying a commercial one (Speed Queen?)
As far as grills, I kicked the gas grill habit years ago and bought a Big Green Egg. I am happy knowing I will probably never have to buy a grill again in my life.
Carpet shampooer: Rug Doctor
The bottom line is if you don't want disposable equipment, stop buying it!!! You must shell out the extra money and do your research to buy the known reliable products.