Be careful what you wish for, just because it's honest advice doesn't mean it's not prejudiced advice. I admit I'm a Noctua/Intel/Nvidia fan, so my advice tends to lean toward their products. And everyone is like that and everyone has their own reasons for it. My advice is to listen to all sides and make up your own mind what's best for you.
Read everything and don't rush. I can tell you why I prefer Intel chips, firstly they run cooler, I live in the desert this is the same reason I tend to go for Nvidia, they run cooler and every degree I can avoid generating in the first place is one degree I don't have to dissipate with more fans which = noise and I don't like a loud rig. Secondly as has already been laid out even though there are fewer cores on the intel chips, they're more efficient cores.
If you are only doing gaming an i5 will do fine and save you money, if you plan on doing any video editing type work then an i7 or even Xeon processor might be the thing. But dollars to performance a Z97 i5 4670k is a good combo.... Asus Z97-A is reasonably priced and can handle overclocking well, if you choose to do that.
As far as video cards go it depends on the monitor you want to use it on. A 1080p solution can be a lot cheaper than a 1440p/4k solution. If it's 1080p on a budget I'd say a GTX 960 is good enough to save some money and get decent performance. If you want to stretch to a higher card a GTX 970 is good but there are AMD products between those two price points which may be appealing as well if heat/noise are less of an issue for you.
And my one piece of advice on a PSU is simple, other than to buy from a big brand, get a modular supply, it's worth the extra few bucks.