Extr3meErr0r

i would wait and get a RX 480

I'm going to go and break away from the common response here.  You SHOULD get a 3DS or Vita by all means.  Because phones will not play the games that the 3DS and Vita have.   You could easily get a nice midrange phone, and a handheld, and likely save money. (At least if you buy the phone off contract.)
 
I've always found that a dedicated gaming platform will serve you quite well simply for the fact it is a one use device.  The 3DS has one purpose, and that is gaming, and while it doesn't push any technological boundaries, it still offers excellent bang for the buck.  200 dollars nets you a phenomenal library of games that ranges back through the DS era, and into the NES era with eshop support.  Of course this goes along with various bonuses like physical controls that don't rely exclusively on a touchscreen.  Amiibo connectivity, and all that great jazz.  I'll even say the 3D is worth checking out on the New 3DS.
 
Vita is just as strong a system right now at pretty much the same price point.  Superior specs yield classier looking games, granted the 3DS looks beautiful within it's limits.  Dual analog stick support, solid library that extends into the PSP era with online support.  One thing really holding it back are prices on the memory standard that Sony uses.  If OP does indeed have a PS4, this would prove to be quite a useful extra.  I can't vouch for it personally, but apparently you can use the PS Vita as a PS4 controller, and a few other nifty extras.  Useful feature, but not needed seeing as how the Vita stands on it's own.  
 
Or you could go spend a solid chunk of money on a device with freemium games, no built in hardware buttons, but hey... you get lots of big hardware numbers that have not yielded a better experience for me so far.  You can argue that a controller can be plugged in, but that kinda defeats the purpose of the portability aspect for me.  Bringing emulators into the game isn't a bad option honestly, but at that point OP could invest in a nice laptop or tablet, and work from there.  
 
tl;dr: 
Hardware controls for me are a huge benefit as is the sizable library both the Vita and 3DS carry.  A library you mostly won't find on smartphones of any mobile OS.  Basing your purchase on specs alone is rather pointless considering the purpose of the devices.  Consider what YOUR gaming needs are, and base your purchasing decisions on that.  

I'm a bit late, but it's a Palit GTX 460 Sonic.
http://www.palit.biz/palit/vgapro.php?id=1337
That one
 
It only cost £37 off ebay, and I had that money spare at the time of purchase. I purchased it around September last year but didn't start using it until January.

I made a post like this a while ago, don't know where it went though. 
 
So, here's the one i made for that
 

 
And another i made recently for another forum thread.
 

 
EDIT.
Thanks, Linus. For dissing me on the livestream! I did forget to say that the top one was pretty terrible though

This
And
This
and thinking about this
It's the same case, but the lights have a colour change switch.

Here you go:
PCPartPicker part list / Price breakdown by merchant
CPU: AMD FX-4300 3.8GHz Quad-Core Processor (£55.72 @ Scan.co.uk)
Motherboard: Cheapest AM3+ Motherboard You Can Find On Ebay (price is aprox) (£26.00)
Memory: Crucial 4GB (1 x 4GB) DDR3-1600 Memory (£26.11 @ CCL Computers)
Case: Cooler Master N300 ATX Mid Tower Case (£29.83 @ CCL Computers)
Power Supply: EVGA 430W 80+ Certified ATX Power Supply (£25.87 @ Amazon UK)
Other: GTX 460 (Purchased)
Total: £163.53
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-03-09 18:57 GMT+0000
Unless you're buying RAM used you're not getting 6GB of RAM. Also, you can find some really cheap motherboards on ebay.

This
And
This
and thinking about this
It's the same case, but the lights have a colour change switch.

It's possible that you posted while he was typing his post. So he might not have seen yours.

It will be VERY hard to get you all the components NEW for that price...i definitely recommend seeing what you can get used. That being said, this might be an option...
 
PCPartPicker part list / Price breakdown by merchant   CPU: Intel Pentium G3258 3.2GHz Dual-Core Processor  (£51.99 @ Ebuyer)  <----overclockable Motherboard: Asus H81M-PLUS Micro ATX LGA1150 Motherboard  (£39.97 @ Amazon UK)  <-----supports overclocking with BIOS update Memory: Corsair 8GB (2 x 4GB) DDR3-1600 Memory  (£48.51 @ Amazon UK) <----cheap 8GB ram(this is one area I think you could find much cheaper used RAM) Case: Cooler Master K380 ATX Mid Tower Case  (£23.99 @ Amazon UK) <---many options for cases...some used cases will have a PSU/Case combo for cheaper Power Supply: EVGA 430W 80+ Certified ATX Power Supply  (£25.87 @ Amazon UK) <-----see above, although a 430W PSU with your GPU and CPU will be fine Total: £190.33 Prices include shipping, taxes, and discounts when available Generated by PCPartPicker 2015-03-08 21:48 GMT+0000