I'm a fan of Thor ranges, but I would not buy the frig. It may be fine, but there is no advantage over the established brands. Same with the dishwasher. If Thor made a true built in frig at a great price I would consider it. But I would still be worried about parts.

While waiting for others to reply, you might want to try searching for past threads via google with a search string like this: "houzz + thor." That should get you a dozen or more threads here. The houzz search engine at the top of the page can be hit or miss and maybe didn't give you any hits if you used it rather than going out to google.

Have you found an experienced service technician in your area? That might be worth your efforts. Your problems with the Bluestar burners sound like the type of problem that happens with poor installation. There are a couple of parameters (e.g. Venturi shutters) that need to be adjusted based on your altitude and based on your gas pressure. A good installer will set all these things correctly and/or make sure you weren't sold an appliance that was configured for the wrong environment (e.g. there have been people who received stoves set for propane, when they wanted to use natural gas). Also, the igniter electrodes need to be positioned correctly. It's an easy adjustment, but it is possible they shifted since they left the factory. And you need to make sure that the igniter cables don't touch metal parts. They can otherwise spark against the chassis instead of against the burner heads ... and that of course defeats their purpose. Easy to fix with a zip tie. Your installer should have tested this. The banging sounds from the oven are a different issue. I think, in the past, people narrowed it down to an incorrectly installed heat spreader. Your service technician should verify that theory and request a replacement part from Bluestar. Some limited amount of clicking sounds are normal with any gas oven. Banging isn't. Also, the Bluestar manual tells you to never use the broiler during pre-heat or when the convection fan is on. That can cause unburned gas to accumulate and eventually combust explosively. Of course, people tend to forget. That's why Bluestar currently has a recall going on that provides you with an additional relay for the fan. Once installed, this relay prevents you from accidentally running the broiler in a way that isn't safe. You should probably contact Bluestar and ask them about the recall, if you haven't done so yet. Bluestar makes some amazing rock solid appliances. They use proven old-school mechanical technology. But sometimes that also means that they need a knowledgeable technician to set everything up the first time round. And yes, some people have bad luck, and something is genuinely broken. That does happen on occasion.

JA, KA, and Whirlpool Maytag are all the same company, and use virtually the same internal components. You're buying style, and not even that sometimes, when you buy their "premium" brands. JA tries to position itself as the designer brand, but it's the same under the skin. KA has decent Whirlpool level appliances with one or two more features. Forget a big range unless you have the house and neighborhood and budget to support it. If you have that house and that budget, you should be working with a Kitchen Designer to guide you. The codes surrounding a kitchen redo are numerous and restrictive. You need someone that's done this a few times