You may want to consider raising your budget. You can build a decent box for around $700 but even that's tight. By the time you add peripherals and an operating system you've likely added another couple of hundred. You'll have a nice, mid range system near your budget but don't expect full eye candy in most modern games.
If you want something really capable you've got to be thinking $1000 or more for the box plus OS but then you still have peripherals to deal with.
I'm not looking for a terribly high-end system, per se. A decent middle ground PC that can run some newer games with decent frames and a little eye candy. My budget is somewhat flexible on this, and my commitment relies on seeing what I can do from here on the big sale days, hopefully picking the bulk of my parts from that and peripherals after my deployment ends.
A couple questions I've come up with using PC part picker..
1, is a wired network adapter necessary for an ethernet plugin to a router or moden, or will a wireless adapter accomplish this with the added bonus of wifi?
2, for power supplies, what should I look for? Something closer to what the PC will require, or the more the merrier?
3, case fans. Necessary for keeping a rig cool, or just an added bonus?
This is what I have for my list so far -
PCPartPicker part list:
http://pcpartpicker.com/list/kbQqpbPrice breakdown by merchant:
http://pcpartpicker.com/list/kbQqpb/by_merchant/CPU: AMD FX-4350 4.2GHz Quad-Core Processor ($84.00 @ Amazon)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($24.88 @ OutletPC)
Motherboard: MSI 970 GAMING ATX AM3+ Motherboard ($87.88 @ OutletPC)
Memory: G.Skill Ripjaws X Series 8GB (2 x 4GB) DDR3-1600 Memory ($33.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($47.49 @ OutletPC)
Video Card: Gigabyte GeForce GTX 1070 8GB G1 Gaming Video Card ($429.00 @ B&H)
Case: Corsair 200R ATX Mid Tower Case ($55.98 @ Newegg)
Power Supply: EVGA 500W 80+ Bronze Certified ATX Power Supply ($32.98 @ Newegg)
Optical Drive: Asus DRW-24B1ST/BLK/B/AS DVD/CD Writer ($16.88 @ OutletPC)
Operating System: Microsoft Windows 10 Home OEM 64-bit ($88.89 @ OutletPC)
Wired Network Adapter: TP-Link TG-3468 PCI-Express x1 10/100/1000 Mbps Network Adapter ($11.88 @ OutletPC)
Wireless Network Adapter: TP-Link TL-WDN4800 PCI-Express x1 802.11a/b/g/n Wi-Fi Adapter ($38.84 @ OutletPC)
Case Fan: Cooler Master SickleFlow 69.7 CFM 120mm Fan ($5.99 @ NCIX US)
Total: $958.68