Kench33, if you've done research on Battlefield 3 Multiplayer and Skyrim, then you should this.
BF3 - GPU Intense, need a powerful card. Most likely crossfire or a duel GPU. Requires a GTX 560 or a HD 6950.
Skyrim - CPU limited and requires a GTX 260 or HD 4850 I believe. I don't have the box in front of me to be honest.
A HD 7850, in theory, is faster than HD 4850. Again, this is in theory. You can pick a HD 7850 Core Edition from XFX for $255, but there's a rebate right now which will drop it down to $235. In another theory as well, a HD 7850 should be at least 30% slower than a HD 6950. Again, this is in theory.
http://www.newegg.com/Product/Product.aspx?Item=N82E16814150608
If you prefer NVIDIA, then you can pick a GTX 560 Ti for around the same price. But in theory, it should be 30% slower then a HD 7850. Again, this is just theory. There's one from EVGA for $280, but there's also a rebate to drop it down to $250.
http://www.newegg.com/Product/Product.aspx?Item=N82E16814130683
Since your on a budget like me, Nekulturny said the Cooler Master Elite 430 was good for budget gamers like myself. It's $52, but after rebate it's $42.
http://www.newegg.com/Product/Product.aspx?Item=N82E16811119227
Seagate Barracuda 1TB 7200 would be good. But take this as an ideal storage space for $110. You have to decided how much you want. If you want this, bigger, or smaller. The choice is yours. They've done me great, and lasted me for 3+ years.
http://www.newegg.com/Product/Product.aspx?Item=N82E16822148321
Let's not forget the RAM. A lot of people loves the G.Skill series but I prefer Corsair myself. $46 for these bad boys.
http://www.newegg.com/Product/Product.aspx?Item=N82E16820231428
Since you prefer Intel like my friend, he gave me this motherboard for my birthday and loves it to death. ASRock Z77 Extreme4 and it's SLI/Crossfire ready as well. $135 for this bad boy.
http://www.newegg.com/Product/Product.aspx?Item=N82E16813157293
Now here's the processor that I'm looking at and my friend won't upgrade his Sandy Bridge to this, but since I'm building from scratch from my Phenom 9850 since it's something to considered for $10 more. $230 for Intel i5 3750K Ivy Bridge.
http://www.newegg.com/Product/Product.aspx?Item=N82E16819116504
Now for the CD/DVD Drive. An Asus 24x DVD Burner should nicely. $19.
http://www.newegg.com/Product/Product.aspx?Item=N82E16827135204
Windows 7 OEM is cheaper by almost $100 so you might consider it for $100.
http://www.newegg.com/Product/Product.aspx?Item=N82E16832116986
I'm using a 22'' Samsung 1080p monitor and that can easily add to your bucket for $210.
http://www.newegg.com/Product/Product.aspx?Item=N82E16889102808R
So why not recycle and use your TV or a different monitor until you can upgrade it? And let's not forget about the keyboard and mouse. I'm using a Logitech G300 and it's perfect for gaming. $38.
http://www.newegg.com/Product/Product.aspx?Item=N82E16826104618&Tpk=Logitech G300
Again, if you have a mouse or can recycle one, then I highly suggest you do to save you some money. And here's the keyboard I'm using. $30 and I gotten one for my dad from Frys for $20.
http://www.newegg.com/Product/Product.aspx?Item=N82E16823126198&Tpk=Logitech K270
I don't know if you want a mouse pad or not but this is what I'm using and let me tell you, after long hours on BF3, Skyrim, and SWTOR, my wrist don't hurt because of it. Plus, I had to replace my Spongebob and Yoda one. Lol. But here's a mouse pad if you want and/or need one for $11.
http://www.newegg.com/Product/Product.aspx?Item=N82E16826993045
And let's not forget the power supply as well. I'm using a Corsair GS 700 which is this for $110.
http://www.newegg.com/Product/Product.aspx?Item=N82E16817139024
But you could get away with a Corsair 600W like this for $70.
http://www.newegg.com/Product/Product.aspx?Item=N82E16817139028
Before shipping, rebates, and taxes; it comes to $1361 total for everything. Now if you do what I'm doing and recycle; meaning, using my old keyboard, mouse, PSU, GPU, and monitor then it comes to less, which comes to $500-$600 I have to spend, meaning, I could easily get away with $450 on Amazon with free shipping. Now that's how it would look like if you were to build from scratch and get everything. And when I say everything, I mean everything. Including the mouse, monitor, mouse pad, keyboard as well. But the monitor is also a standard issue. You may want it, you may not. You may want a monitor with lower resolution. I highly suggest checking Amazon out, or go for a AMD build which will surely run cheaper, under $1000 I believe. You can either buy used, buy pre-built, or save more money if you want Intel. Hope this helps. ^_^