So what tire carrier does everyone run?
1979 Jeep CJ5 - rccrwlr
2008 Jeep JKUR - pheartmtngot
This is another $1000 dollar question that will get you a dozen different answers. Almost anything but stock, or a variation of stock carrier (basically any design that attaches solely to the tailgate itself) I personally would stay away from. It has been proven over time that using the tailgate to hang a tire from is about the worst solution. The more you isolate the spare from the flimsy tailgate the better.
First- It will always come down to your budget and what you think you can stand to look at for years on the back of the jeep (yes, I find looks to be a factor. I wouldn't simply run ugly stuff for the sake of function, form is also a factor to me). Do you want a bumper carrier combo, or just the tire carrier?
Second- how big of a spare are you planning on running. Even if I wasn't running 40"s I would go with something capable of guaranteeing it can hold at least a 37" tire. Most carries that tie into the jeep with more than two points of contact are going to be better.
Third- how hard do you wheel your rig? If you follow the Second rule listed, how hard you wheel your rig is almost a non-factor, because the tire carriers that are designed to carry big rubber donuts usually can handle hard trails.
Fourth- Does your tire carrier need to carry more than just a tire? What accessories do you absolutely need to take along with you, extra fuel cans, hi lift jack, cb antenna mount, etc.
This is how I look at it, others may prioritize differently. Over the years I know what brands I like and trust and which ones I have seen underperform. Start doing lots of research, get answers from people who have run something you are thinking about. Not just a reply from someone who has a friend on another forum that heard brand XX is the best.