Can i build a PC for gaming with 420$?

[Ken213]

Can i build a PC with components worth of around 420$ that can play all modern games at a reasonable FPS on low-medium settings?
If so, can you recommend me what to buy and why?

Storage is not included in the budget as i already have one HDD i can use and plan to get an SDD as soon as i can.

 

[Outlander_04]

What resolution is your monitor?

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i3-6100 3.7GHz Dual-Core Processor ($110.99 @ SuperBiiz)
Motherboard: Gigabyte GA-B150M-DS3H Micro ATX LGA1151 Motherboard ($65.38 @ Newegg)
Memory: G.Skill Ripjaws V Series 8GB (2 x 4GB) DDR4-2133 Memory ($33.89 @ OutletPC)
Video Card: MSI GeForce GTX 950 2GB Video Card ($117.98 @ Newegg)
Case: Fractal Design Core 1000 USB 3.0 MicroATX Mid Tower Case ($29.99 @ Newegg)
Power Supply: Corsair CXM 550W 80+ Bronze Certified Semi-Modular ATX Power Supply ($59.99 @ NCIX US)
Total: $418.22
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-07-10 20:11 EDT-0400

Keep in mind that there are newer better graphics cards close to release from AMD and you might be able to do a lot better then the GTX 950 in a week or two