A10 Kaveri or My Plan

I would do neither.

One would buy a Kaveri or similar for the superior integrated graphics.
Once you install a stronger discrete graphics card, that advantage is lost, and you are stuck with a less efficient cpu.

On your newegg build, I think your budget allocations are off.

You are spending more on the motherboard than either the cpu or the graphics card.

I might budget $100 for a motherboard, $150 for a cpu, and $300 for a graphics card.
The graphics card is all important for gaming.
Any motherboard that supports your cpu will perform about the same. It is the cpu, not the motherboard that matters.
Look for a R9-280X or a GTX770.

The FX-6300 is a decent budget gaming cpu.
Any stronger, and I might look at a $180 i5-3350P and a $55 B75 based motherboard.

You will also need a psu. 600w should do it.

Looking at your wishlist some more and you are definitely overpaying for hardware that isn't going to give a significant boost in performance. This would be faster for less.

PCPartPicker part list / Price breakdown by merchant / Benchmarks

CPU: AMD FX-8320 3.5GHz 8-Core Processor ($149.99 @ TigerDirect)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($29.99 @ Microcenter)
Motherboard: Gigabyte GA-990FXA-UD3 ATX AM3+ Motherboard ($142.98 @ OutletPC)
Memory: G.Skill Ripjaws X Series 8GB (2 x 4GB) DDR3-1866 Memory ($68.00 @ Newegg)
Storage: Samsung 840 EVO 120GB 2.5" Solid State Disk ($99.92 @ OutletPC)
Storage: Seagate Barracuda 2TB 3.5" 7200RPM Internal Hard Drive ($82.99 @ NCIX US)
Video Card: MSI Radeon R9 280X 3GB Video Card ($339.99 @ B&H)
Optical Drive: Pioneer BDR-208DBK Blu-Ray/DVD/CD Writer ($49.99 @ Microcenter)
Operating System: Microsoft Windows 8.1 (32/64-bit) ($112.13 @ NCIX US)
Total: $1075.98
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-01-07 16:00 EST-0500)

Which brands do you disagree with?

I maintain 23 PCs at home. They used to mine Bitcoin 24/7 now they mine Litecoin. I'm also old... I've been on Toms since the site started. I grew up in the 80s and 90s. I was part of the .com boom as well. The only reason I'm telling you this is to make a point.

All hard drives fail. Be they Western Digital or Seagate (or other competitors such as Hitachi, Samsung etc). They all end up in the same place (trash heap). What matters is the warranty as well as the performance/price. The rest is mostly based out of allegiances to a particular brand. Something which is, at its fundamental most fundamental level, absurd.

I've also had various Motherboards, over the course of my 33 years on this planet, Epox, Abit, Asus, Gigabyte, DFI, MSI etc etc etc I've owned one or several models of each brand. When it comes to an Intel system, I tend to use Asus motherboards. When it comes to an AMD system, I tend to use Gigabyte.

For an AM3+ build, I tend to recommend the Gigabyte 990FXA-UD3. I have two of those boards (and a UD5 as well). They're solid motherboards. No reason to go for Asus when the 990FXA is better than the Asus equivalent. How do I know? As I said above... the machines I've built run 24/7 at 100% CPU load. You get to know a thing or two about reliability under those conditions.

I have used two of those Gigabyte boards, running 24/7 at 100% CPU load, for a year now. Overclocked no less. The way I see it... this screams reliability.

There are two predominant groups in these forums. The "Dude Bros" and the "g33ks". The "Dude Bros" will always follow what some other Dude Bro suggested to them. They tend to be very very active over on Reddit. They will always recommend a Core i5 CPU with an Asus motherboard and an nVIDIA Graphics card. If you question them on their choices.. they will have nothing more to say than "It's what gamers crave brah" (which is reminiscent of the movie Idiocracy). Taking advice from this lot is not recommended as they have no clue how this "stuff" actually works. They're brand conscious consumers (Beta Males/Females). Think "Apple User". Who yield to the authority of a perceived Alpha Male/Female. g33ks, on the other hand, share a disdain for authority (being Alpha-Omega in nature). g33ks tend to try the stuff out themselves, due to curiosity, as well as learn the fundamentals of the topic which they then address. g33ks fall in love with a topic and then learn everything there is to know about it. This is very time consuming and is likely why "Dude bros" can't handle it. You know... the popular Dude bro saying "TL;DR".

Trust the g33ks. Ignore the Dude bros.

Pretty sure the Gigabyte has 8+2 power phase and the Asus has 6+2.