I don't want to be "that guy" and say that most pre-builds are bad, but I've seen that most "budget gaming" pre-builds are atrocious.
I'd recommend using a site called PCPartPicker and putting together something yourself, basically fill in the blanks and you've got a working system. It will tell you if there are incompatibilities and such as well. For games, the single most important component is the GPU. Most are advertising as "VR Ready", but that's basically just a marketing buzzword at this point, as most VR Games to run well need something super high-end. That overclocking issue is kind of whack, but at least by putting together the system yourself, you'll know it isn't overclocked. There's a tonne of guides and things online to help you, I can find you one if you'd like.
I'd recommend an AMD Ryzen 5, either a 1500 or the 1500X if you can spare a little more, for the CPU. 4 Cores is all that games can use, it's more about how fast (The GHz) they are.
For the GPU, I'd love to recommend an AMD RX480, but pricey is super-skewed right now because people are using those to mine crypto-currencies like Ethereum. An NVidia GTX 1050 or 1060 should be fine for most of the games you mentioned above.
For Memory, most games are only going to use 8GB, but the advantage is that if you decide you need more later, it's easy to drop another stick in. I wouldn't worry too much about the speed of that, it shouldn't make a huge difference.
Storage wise, it's good to have room to grow, but that said, you can always buy more drives later if you need. An SSD wouldn't be a bad idea, since it will make your PC boot quicker, and give general day-to-day usage a snappier feel.
As for the Power Supply, you only really need a 550 Watt PSU.
My 5 minutes on PCPartPicker had something along these lines:
- Ryzen 5 1500X
- MSI B350 Gaming Plus
- Corsair Vengeance LPX 8GB
- EVGA GTX 1050
- SanDisk SSD Plus 240GB & Seagate Barracuda 1TB
- EVGA G2 550W
This came out to $550 on PCPP
, but I didn't save the build. You'd still need accessories (Keyboard, Mouse and Monitor) and a case (Which I didn't include because, well, just pick one you like the look of)
If you intend to play something beyond MOBAs and MMOs, a GTX 1060 might be a better buy, but that's my $0.02