Don't count Sears out. They own K-Mart now, and they do have a flawed but fairly comprehensive website. They need to capitalize on their strengths, which is NOT apparel. That is their bugaboo... they ceded apparel when they did the "Go Goolagong" campaign.
So what are their strengths? Tools and Appliances. Bedding. Automotive. They can win in those spaces easily if they concentrate on them. My tractor and snow blower are both Craftsman. Sure, Craftsman is crap lots of people will say. Well I say it isn't. At the low end, $1100-$1800 for a tractor, and $650-$1200 for a snow blower, they are selling the SAME product that you will get anywhere else regardless of name brand (including Deere, which doesn't make its own low end stuff anymore, but still charges you like they do). I replaced my circa 1970's Craftsman tractor with a 2000's model that has a hydrostatic drive, cast iron axles, and a B&S engine. It is bulletproof so long as you change the oil. The hydrostatic drive is sealed, and never needs new fluid. Will it die in 10 years? Maybe. Will it die in 15 years? Probably. But I paid $1200 for it, so about $100 a year. My snowblower has been rock solid too, with the notable exception of last year, when it would not run when wet. In the spring, I figured out what had happened... A mouse had taken up residence in the cowl and had chewed almost all the way through the ignition wire. The replacement part for that was readily available from Sears, and I installed it myself. Runs like a champ now, and frankly, that wasn't a quality issue and would have happened to any other brand of snowblower I bought. So I'm a big fan of Craftsman power equipment and their tools because parts are readily available. When you buy the whatever brand from Home Cheapo, not so much. And in the end, all these are built by one of two manufacturers and are rebranded for each store.
When your battery dies on a Sunday, where do you go to get it fixed? Sears is open, and they have your battery, and its overpriced but is decent quality. I've taken to replacing them myself now that my family has a whole fleet of cars, but if I only owned one or two, I would just go to Sears and get the battery done there. Tires? Some of the best prices on tires. Competitive with Walmart even. I bounce between Walmart, Sears, and Firestone for tires. Again, Sears has a strength here.
I know I'm coming off as a fanboi here, but I would NOT like Sears to disappear. I've bought a lot of stuff from them - Appliances I often buy at their scratch and dent warehouse... My fridge sits in an alcove, you can't see the right side at all, and only the top half of the left. So when my fridge died, I bought one with a huge gouge down the right side. I can't see it. And the thing has water, ice, all the bells and whistles, and I paid like $600 for it. Again, drifting into fanboi-dom, but I want Sears to survive.