Graphic card for Lcd Tv

We need more information on the rest of the computer: CPU, memory, powersupply (exact make and model) and motherboard.
Also what are your expectations? With all the settings on max and with AA/AF full on you'll need a fairly powerful system, if you want/need/will tolerate less than the full whistles and bells graphics, something less powerful will suffice.
And how much is in your pocket/credit card?

You shouldn't need to spend quite that much. In that price range you'll want an i7 system.
The cpu will cost you $280;
http://www.newegg.com/Product/Prod [...] 6819115202
A good motherboard for it can be had for less than $250;
http://www.newegg.com/Product/Prod [...] 6813188049
6 gigs of ddr3 will cost you $120ish;
http://www.newegg.com/Product/Prod [...] 6820231225
An 800+ watt PSU from a good company will be $120-150ish;
http://www.newegg.com/Product/Prod [...] 6817139009
An Antec 300 is a very nice case for a great price, $55;
http://www.newegg.com/Product/Prod [...] 6811129042
For hard drives it depends on how much storage you want. This one is very fast and a good choice for a main drive for $75;
http://www.newegg.com/Product/Prod [...] 6822136319
You'll probably want more storage space. Terabyte drives start at $80 these days;
http://www.newegg.com/Product/Prod [...] d%20higher
The only major component left is the video card. At that resolution I'd recommend an HD4890 for around $200. It should do very well at that resolution and if you ever decide you want more power you can always grab another one for crossfire;
http://www.newegg.com/Product/Prod [...] 6814150359
All this should be under $1200 I think. Keep in mind only spent 10 mins assembling this list. The choices are good but you can probably find better deals if you look a little.