Consumer Reports says GE and Frigidaire fridge reliability is about the same for models that do not have an ice maker, but that GE models with ice makers are less reliable. Other than that there's really no way to predict. Best approach is to buy something you can afford to replace after 10 years. Nothing is manufactured to last much longer than that anymore but maybe you will get lucky.

Lowes and Home Depot sell both brands. Why not just use the owner ratings / reviews on those sites for the models you are considering to answer the question?

Oh do I hate my Frigidaire refrigerator! The rubber gaskets are shredding and the plastic on the body is cracking after just three years. (The plastic drawers cracked the first year!) The French doors have never shut properly, often requiring manually tucking one side in in order to close the other. Temperature inside is wildly uneven. I should mention that we are not a household with children or heavy-handed users. A mature couple who treat appliances carefully...

My experience in shopping recently for a "plain ol' fridge" (Whirlpool in our case) is that on-line repair histories are pretty much meaningless. This is, in part, because even 10-year-old fridges are built more solidly than the ones you can buy today and, in part, because every refrigerator line has its on-line detractors and almost all of it is anecdotal. Even Consumer Reports' ratings are very seriously flawed.

The best I think you'll be able to do is to keep the refrigerator as simple as possible (e.g., no icemaker or water-through-the-door if you can get by without it) and maybe research with an eye toward what the repair techs like and don't like about a particular refrigerator line. Even then it often takes a few years for "they all do that" problems to appear and be confirmed.