My "top tier" consists of Asics, New Balance and Adidas. Asics because of their consistent high quality and avoidance of gimmicks (and also because my first running shoes way back in 1980 were Tigers). New Balance for the same reasons, although I've had one or two duds. Adidas because they have really lifted their game recently. In fact, they are my current favourite, despite having totally lost the plot a few years ago.
The second tier is Nike, and perhaps Brooks and Saucony. Nike make some very good shoes, but they also make a lot of gimmicky dross, so I just don't bother tryin to sort the wheat from the chaff any more. I haven't had much experience with Brooks and Saucony, but some runners seem to like them.
Then there's the rest - Puma, Fila. etc. I've never worn them, so I can't really comment, but I'd guess they have a big hill to climb to establish credibility with serious runners.
I'm sure others will see things differently, but perhaps this will help if you don't know where to start.