We always bought appliances from sears, but recently the refrigerator was from Lowes, and the microwave and oven from Amazon.
They don't stock appliances (very long waits for refrigerators) and the sales people can be horrible. The fridge we bought recently sight unseen, online.
The checkout process at Sears is fully fucked up. A convoluted connection of iPads, credit card swipers, and ancient IBM registers.
Best Buy also sucks, so it's not like they have much local competition.
I swore I'd never buy a large appliance from Amazon, but the in-wall oven was just fine, and I installed it no problem. If you can do your own appliance installations, I suppose online is the way to go.