Help with selecting components for gaming PC - 1800 budget

That looks like a good build but dont forget to get the unlocked version of the 4670! Games are starting to use a few more cores as of now though so maybe going a for a FX-8350 build with dual video cards could work too just a suggestion.

http://pcpartpicker.com/p/1F8Zn
PCPartPicker part list / Price breakdown by merchant / Benchmarks

CPU: Intel Core i5-4670K 3.4GHz Quad-Core Processor ($233.97 @ Outlet PC)
CPU Cooler: Noctua NH-D14 65.0 CFM CPU Cooler ($77.91 @ Amazon)
Motherboard: Asus Z87-PRO ATX LGA1150 Motherboard ($179.98 @ Outlet PC)
Memory: Corsair Vengeance LP 8GB (2 x 4GB) DDR3-1600 Memory ($81.99 @ Amazon)
Storage: Samsung 840 Pro Series 256GB 2.5" Solid State Disk ($214.99 @ NCIX US)
Storage: Western Digital Caviar Black 1TB 3.5" 7200RPM Internal Hard Drive ($81.57 @ Amazon)
Video Card: Gigabyte GeForce GTX 770 2GB Video Card ($398.99 @ SuperBiiz)
Case: Fractal Design Define R4 (Black Pearl) ATX Mid Tower Case ($79.99 @ Newegg)
Power Supply: Corsair 860W 80 PLUS Platinum Certified ATX12V / EPS12V Power Supply ($199.99 @ Amazon)
Optical Drive: Asus DRW-24B1ST/BLK/B/AS DVD/CD Writer ($16.98 @ Outlet PC)
Operating System: Microsoft Windows 8 (OEM) (64-bit) ($86.98 @ Outlet PC)
Monitor: Acer H236HLbid 60Hz 23.0" Monitor ($159.99 @ Amazon)
Total: $1813.33
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2013-09-18 13:14 EDT-0400)

This is somewhat close to what I have (although I changed a few things because you have a bigger budget than I did.)

For the cooler, if you wanted to save money there you could probably drop it all the way down to coolermaster hyper 212 evo..this will just do the job better.
For the board, you could probably go cheaper, I just picked one out that seemed to have good reviews. I have the z87 sabertooth and I like it, but others arent a fan because they don't like certain things it comes with and the board itself is a bit overpriced for what i comes with. The Z87-A is in a combo deal with the cpu I picked out for you if you can get to a microcenter (I think it's $35 savings).
Drop the psu down the non "i" version if you like, I was just curious to see if it fits in the budget. The "i" version allows you to monitor power consumption through your board, but is an easy place to save money if you arent interested in that stuff. The 860 W should be more than enough for 2-way sli I think, drop it down to 760 if you don't really care as much about that.
I picked out the 256 gb version of that ssd because it was still under budget, but the 128 gb version is definitely another spot to save money. Go with the EVO model if you want to save even more money (performance is comparable between both drives I think)
I feel like the 770 model is more than enough for most things right now, you could always sli in the future if you choose to do so. You could even drop down to the gtx 760 if you want, it is definitely a great deal for the price
Standard Windows OEM version, 7 and 8 are both the same price so pick whichever you want.

I don't know so much about monitors so I just picked one that seemed decent enough, I've had my acer monitor for a few years now and it is a great monitor considering how cheap it was. I'm not a fan of spending too much on monitors as I am used to laptop gaming, so anythign over $200 always feels like overkill to me.

Add what case fans you feel that you need after checking out your temperatures, I believe noctua is the preferred brand of many although corsair has a promising looking twin pack available as well.

*cooler – not really looking at liquid cooling - The closed loop liquid coolers are 4 times as loud as the better air coolers and really do not provide any significant thermal advantage....the best of the air coolers is the Phanteks, with the Silver Arrow and Noc D14 close behind.

*Monitor – I went with a 144 Hz monitor w/ LightBoost to reduce motion blur. Look at the little alien pics in this article to see what the faster Hz and Lightboost do .... Hint: it does a lot.

http://www.tftcentral.co.uk/articles/motion_blur.htm

*Include Case – don’t care about noise, but would like a mid-size tower (black) if it fits everything. Cooling is important.....10 fan mounts and 4 included fans provide plenty of performance

*mb – need lots of help/input on this – sound built in? gaming port? Possible I may want to upgrade chip someday, but usually upgrade entire board by that point. Might look at sli now, or down the road - looking at "down the roads" means PSU and MoBo must be capable now....the MoBo has won 22 awards to date for it's performance and its MIL spec components mean hi efficiency, long life and great OC ability

*Video card – leaning towards a single 3gb card – what benefits does sli give? - SLI means more fps for less money but it does use a bit more power and produce a little more heat. Compared to a 780 .... twin 760's give ya about 25% more fps for 75% of the cost ....and they do Lightboost

NOTE: This is $1812 .... In last 3 days....RAM is up $15, monitor $50, case / psu combo $30, MoBo $10....may want to wait for next sales cycle.

MoBo - $404 - MSI Z87-G45 http://www.newegg.com/Product/ComboDealDetails.aspx?ItemList=Combo.1434463
GFX included MSI Gaming N760 TF

GFX $260 MSI Gaming N760 TF http://www.newegg.com/Product/Product.aspx?Item=N82E16814127745

Case - $200 - Corsair 500R http://www.newegg.com/Product/ComboDealDetails.aspx?ItemList=Combo.1390812
PSU - included - Corsair TX750

RAM - $94 - (2 x 4GB) Muskin CAS 9 DDR3-1866 http://www.newegg.com/Product/Product.aspx?Item=N82E16820226223

CPU - $240 - Intel Core i5-4670k http://www.newegg.com/Product/Product.aspx?Item=N82E16819116899
Cooler - $80 - Phanteks PH-TC14 http://www.newegg.com/Product/Product.aspx?Item=N82E16835709011

HD - - WD Black 1 TB http://www.newegg.com/Product/Product.aspx?Item=N82E16822136533
SSD - $135 - Samsung 840 Pro 128GB http://www.newegg.com/Product/Product.aspx?Item=N82E16820147192

DVD Writer - $19 - Asus DVD Burner http://www.newegg.com/Product/Product.aspx?Item=N82E16827135304

Monitor - $280 ASUS VG248QE Black 23" 144 Hz Monitor http://www.newegg.com/Product/Product.aspx?Item=N82E16824236313

OS - $100 - Win 8-64 Home Pre http://www.newegg.com/Product/Product.aspx?Item=N82E16832416550

CPU: Intel Core i5-4670K 3.4GHz Quad-Core Processor ($239.99 @ Newegg)
CPU Cooler: Phanteks PH-TC14PE_BK 78.1 CFM CPU Cooler ($74.99 @ Newegg)
Motherboard: MSI Z87-G45 Gaming ATX LGA1150 Motherboard ($159.99 @ Newegg)
Memory: G.Skill Ripjaws Series 8GB (2 x 4GB) DDR3-1600 Memory ($64.80 @ Newegg)
Storage: Samsung 840 Pro Series 128GB 2.5" Solid State Disk ($122.99 @ NCIX US)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($58.99 @ NCIX US)
Video Card: EVGA GeForce GTX 780 3GB Video Card ($643.99 @ SuperBiiz)
Case: Corsair 500R Black ATX Mid Tower Case ($89.99 @ NCIX US)
Power Supply: XFX ProSeries 750W 80 PLUS Gold Certified ATX12V / EPS12V Power Supply ($89.99 @ NCIX US)
Optical Drive: Asus DRW-24F1ST DVD/CD Writer ($16.00 @ Newegg)
Operating System: Microsoft Windows 7 Home Premium SP1 (OEM) (64-bit) ($87.99 @ NCIX US)
Monitor: Asus VE247H 23.6" Monitor ($129.99 @ Newegg)
Total: $1749.70

Went with the i5 because its just as good for gaming and is $100 cheaper.
Went with the Phanteks because it's one of the best air coolers on the market.
The mobo is a good board for gaming and supports SLI and OCing.
Ram is cheap and 8gb of DDR3-1600
Samsung makes really good SSD's right now. 128GB like you specified.
I added a 1TB drive because its really cheap and fits in your budget, why not right?
For the GPU I went with a single 780 from EVGA. The reason I chose EVGA is because of the warranty and I like their ACX cooling. Other people would recommend the Gigabyte or Asus or even Zotac version. All are great cards and preform extremely similarly so it's down to preference. You should do your research here.
Just went with the case I use on my personal build. Good airflow and easy to work in. But hey, its just preference.
For the PSU I just went with a good modular PSU with a Gold rating. Also its from XFX which is a good reliable brand when it comes to PSU's. They are all made by Seasonic.
For the monitor I just went with a good 1080p monitor that fits in your budget. Not really the flashiest thing but it gets the job done and has a 2ms response time which is pretty good for gaming.

Anyways, just my 2 cents.

I don't remember the price difference between K and non K for 4670 (no more than $20-30 i think) but I remember that the 3570k was briefly cheaper than the 3570 at some point. The point I'm trying to make is that it's not that much more for something that could potentially get you a fair bit of performance if/when it's needed.

I think I've heard that sli 760 outranks the single 780. but if you have the budget I might recommend a single 770 and then sli if you need to later on. Still getting the good stuff, but not spending quite so much on it. A 780 would of course be better, but at the same time obviously costs more. I'm not quite sure about screen size/number as I never use more than one monitor (which I believe is 20") so I'v never worried. But I feel like for a single monitor the 770 might be more than enough