Is this a good Budget build?

PCPartPicker part list / Price breakdown by merchant

CPU: AMD Athlon X4 860K 3.7GHz Quad-Core Processor ($72.89 @ OutletPC)
Motherboard: Asus A88X-PLUS ATX FM2+ Motherboard ($79.99 @ Amazon)
Memory: G.Skill Ripjaws X Series 8GB (2 x 4GB) DDR3-1600 Memory ($52.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($51.49 @ OutletPC)
Video Card: Sapphire Radeon R9 280 3GB Dual-X Video Card ($169.20 @ Newegg)
Case: NZXT Source 210 (Black) ATX Mid Tower Case ($34.99 @ Micro Center)
Power Supply: XFX 550W 80+ Bronze Certified ATX Power Supply ($58.99 @ SuperBiiz)
Total: $520.54
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-06-01 01:17 EDT-0400

-The 860k has better single core performance than the FX-6300 if you're going to be playing games
-Better quality and much newer motherboard
-Lower latency RAM
-Much more reliable PSU
-NZXT makes some great budget cases
 
Solution


Not sure why you linked that article, but the 860k does beat the 6300 in single core performance which matters most when gaming and pretty much matches the 6300 for less money. Not to mention you'll be using AMD's newest chipset that will support their new Kaveri refresh CPUs:

http://cpuboss.com/cpus/AMD-FX-6300-vs-AMD-Athlon-X4-860K
 
The silverbear build is much better, better mobo(better featured chipset), RAM and PSU(smart series from termaltake is not good), however the XFX uses SEASONIC topologies(the best).
Also it seems like a generic PSU attached to the case(Logisys CS369BK ATX Mid Tower Case w/480W Power Supply),taking into account the price, so you dont need it.
Related to CPUs, they perform very similar so you can not declare one is better than the other:

Reasons to consider the
AMD FX 6300
More l2 cache 6 MB vs 4 MB 50% more l2 cache; more data can be stored in the l2 cache for quick access later
More cores 6 vs 4 2 more cores; run more applications at once
Slightly better PassMark score 6,444 vs 5,615 Around 15% better PassMark score
Better overclocked clock speed (Air) 4.79 GHz vs 4.5 GHz More than 5% better overclocked clock speed (Air)
Slightly better overclocked clock speed (Water) 4.83 GHz vs 4.6 GHz More than 5% better overclocked clock speed (Water)


Reasons to consider the
AMD Athlon X4 860K
Newer manufacturing process 28 nm vs 32 nm A newer manufacturing process allows for a more powerful, yet cooler running processor
Higher clock speed 3.7 GHz vs 3.5 GHz More than 5% higher clock speed
Much better performance per dollar 15.5 pt/$ vs 8.39 pt/$ Around 85% better performance per dollar
Slightly better PassMark (Single core) score 1,573 vs 1,446 Around 10% better PassMark (Single core) score
Slightly better performance per watt 8.99 pt/W vs 7.31 pt/W Around 25% better performance per watt