Heh, this is an interesting subject for me too! Although I do not have the money yet, our tiny 25+ years old Soviet era fridge is in dire need of upgrading, and I've seriously looked at the market at least once before.
My observation was that there are basically two "classes" of fridges. First is the "standard" class which contains all of your LGs, Samsungs, Whrilpools, Indesits and whatnotelse. The fridges there cost all about the same, if you pick two fridges with the same size/features. There's an equal number of supporters for each brand and there's nothing that makes one stand above the others.
And then there's the "high end" class which contains brands like Bosch, Siemens and Liebherr (and Snaige, which is just a rebreanded Liebherr at twice the price). These fridges cost about twice as much as the "standard" class, if you pick two fridges with equivalent features (except Snaige, which costs 4x, but that's just brand nonsense). However the reviews about these are that they are near indestructible. It is also my general experience that things which cost twice as much tend to last thrice as long, on top of being generally nicer in every imaginable way.
So, the mustachian choice would seem to buy one of the high-end brands, possibly used.
On the other hand, with a few not-too-expensive repairs, the lifetime of a standard fridge tends to approach 10 years anyway, I think. So for a high-end fridge to pay off, it would have to last at least 20 years. Which is a fucking long time. World tends to change a lot in 20 years, and even if the fridge still works, it might not be what I need anymore anyway. And, you know, there's always the chance that it will break anyway - nothing's perfect. And the repairs for the high-end brands are more expensive too.
So... what would be the rational choice?