Hierarchy as in performance.
You will get as many opinions as to the "best primers" as you will opinions on "the one true religion".
I, as well as several others I've talked to, notice no difference between CCI regular large rifle primers and their BR-2's which are twice the price some places.
Others swear by BR-2's as being the best match grade primer on the market and much better than regular CCI primers.
There are probably just as many others who will swear that Federal Gold Medal Match primers and say they are much better than anything CCI makes.
Yet others will say how Winchester primers are by far the best on the market and CCI and Federal are overpriced hogwash.
With opinions like these I would say it's possible that highly accurate loads can be achieved by any of the primers available on the market. I developed my best loads with CCI and they got worse with Winchester primers. If I redid my development with Winchester primers I might be able to match the accuracy of my CCI loads using a slightly different amount of powder.
The normal top contenders for "best primer" in terms of accuracy and consistency are CCI BR's (Bench Rest) and Federal GMM's (Gold Medal Match). This is normally for extreme accuracy and/or long range shooting with top tier marksmen. If you're skills are closer to average you might not be good enough to notice any difference between match and regular primers (I'm not).
With regular CCI large rifle primers, 168gr SMK's, a mostly stock Remington 700 (polished action and Timney trigger only modifications), using H4895, and Hornady 308 Match brass I can shoot a hair under 1" at 200yds on a good day (slightly better than 0.5 MoA). Most days it's closer to 0.75 MoA and on a bad day in or around 1 MoA. I've tried CCI BR primers and noticed no difference so stuck with the cheaper ones.