Something like this would do you pretty well:
http://pcpartpicker.com/user/CaptainSiscold/saved/F6Trxr
[PCPartPicker part list](http://pcpartpicker.com/p/F8FGdC) / [Price breakdown by merchant](http://pcpartpicker.com/p/F8FGdC/by_merchant/)
Type|Item|Price
:----|:----|:----
**CPU** | [AMD FX-6300 3.5GHz 6-Core Processor](http://pcpartpicker.com/part/amd-cpu-fd6300wmhkbox) | $109.99 @ Newegg
**CPU Cooler** | [Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler](http://pcpartpicker.com/part/cooler-master-cpu-cooler-rr212e20pkr2) | $33.24 @ Amazon
**Motherboard** | [Gigabyte GA-970A-UD3P ATX AM3+ Motherboard](http://pcpartpicker.com/part/gigabyte-motherboard-ga970aud3p) | $74.99 @ Newegg
**Memory** | [G.Skill Sniper 8GB (2 x 4GB) DDR3-1600 Memory](http://pcpartpicker.com/part/gskill-memory-f312800cl9d8gbsr) | $79.99 @ Newegg
**Storage** | [Samsung 840 EVO 250GB 2.5" Solid State Drive](http://pcpartpicker.com/part/samsung-internal-hard-drive-mz7te250bw) | $128.99 @ Amazon
**Storage** | [Hitachi Ultrastar 1TB 3.5" 7200RPM Internal Hard Drive](http://pcpartpicker.com/part/hitachi-internal-hard-drive-hua721010kla330) | $47.49 @ Amazon
**Video Card** | [Asus Radeon R7 260X 2GB DirectCU II Video Card](http://pcpartpicker.com/part/asus-video-card-r7260xdc2oc2gd5) | $104.99 @ Newegg
**Case** | [NZXT Source 210 Elite (Black) ATX Mid Tower Case](http://pcpartpicker.com/part/nzxt-case-s210e001) | $49.99 @ Amazon
**Power Supply** | [Corsair CSM 450W 80+ Gold Certified Semi-Modular ATX Power Supply](http://pcpartpicker.com/part/corsair-power-supply-cs450m) | $59.99 @ Amazon
**Optical Drive** | [Asus DRW-24F1ST DVD/CD Writer](http://pcpartpicker.com/part/asus-optical-drive-drw24f1st) | $14.99 @ Amazon
**Operating System** | [Microsoft Windows 8.1 (32/64-bit)](http://pcpartpicker.com/part/microsoft-os-wn700578) | $99.99 @ NCIX US
| | **Total**
| Prices include shipping, taxes, and discounts when available | $784.64
| Generated by PCPartPicker 2014-10-13 03:15 EDT-0400 |
It gets you a 6-core AMD FX-6300, 8GB of RAM, decent graphics, and an SSD of decent size. If you want a more power-efficient GPU, the GTX 750 Ti is a good choice for about $20 more than the R7 260X. Of course, if you wanted, you could drop/reduce the size of the SSD and get better graphics (which it looks like Huang Ray did with his recommendation).
For peripherals on your budget, you're not going to be able to go too crazy, but that doesn't mean you can't get good stuff!
**Monitor**: Asus VS-239H-P
http://www.amazon.com/gp/product/B008DWITHI/ref=oh_aui_detailpage_o00_s00?ie=UTF8&psc=1 I have this monitor, and it's a great choice for a cheap but decent monitor
**Keyboard**: Really, in this price range, there's not a *huge* amount of difference between keyboards. The Logitech G105 (http://www.amazon.com/Logitech-G105-Gaming-Keyboard-Backlighting/dp/B00BBUCCKO?tag=li-org-per-key-us-20) is decent if you want something reasonably priced with a bit of flash, and the Logitech K120 or Microsoft Keyboard 600 are fine if you just want something cheap and basic. The CM Storm Devastator isn't a bad choice, either (and it comes with a mouse)
**Mouse**: I've heard the SteelSeries Kinzu V2 is decent (http://www.amazon.com/dp/B007B5V1PU/?tag=li-org-per-mou-us-20), and my Logitech M310 isn't bad if you don't mind wireless mice.
This *may* take you a bit out of your price range when you factor in the peripherals, but you could always drop the SSD and save some $$$, if you don't mind slower boot times. If you want something a bit better at graphically-intensive games, Huang Ray's build will do that a bit better thanks to the better GPU.