First time poster, long time lurker here.
I've played the panel lottery and bought a LG 37LK430 from Netonnet here in Sweden. A guy I found on a price comparing site had bought one from the same place and gotten a VA-panel so I didn't have my hopes up much.
My TV:
Model No.: 37LK430-ZA
Serial No.: W in forth position
Loupe test confirms I got the IPS panel!

No dead/locked pixels.
So far so good, right? Well, not entirely... :/
I bought this TV
for the sole use as a monitor for my HTPC, to surf, play movies (720p and 1080p) and to play games. First I used my old VGA cable and I found the colors somewhat lacking, though I got flawless pixel mapping with a picture that covers the entire panel.
Now I got a Supra DVI-HDMI cable and
I just can't seem to get a pixel mapped picture that extends fully! If I want good text and a picture that looks pixel mapped, then I seem to lose 2 inches of screen real estate.

Here's what I've tried and the respective results:
HDMI configured as "PC", PC output 1920x1080@60Hz: Lot of advanced settings on TV are blocked. Can only choose from 16:9 and 4:3 ratio, both get
black borders around picture. Text is great on 16:9 and it looks pixel mapped.
HDMI configured as "Game", PC output 1920x1080@60Hz: All advanced settings and ratios seem available on TV. Can only get picture to extend fully by using Cinema Zoom 1 ratio, but this makes text fuzzy and does not look pixel mapped, also movies look somewhat smudged. Text look fine on "Just Scan" ratio, but as on "PC"-mode, this makes the picture not extend fully.
HDMI configured as "PC", PC output 1920x1080@50Hz: Same as if I run @60Hz but configure HDMI as "Game".
Changing between HDMI ports 1-3 seem to make no difference.
Upgraded TV to latest firmware made no difference.
Since I use a DVI-HDMI cable I can't seem to make a choice between the 4:4:4 varieties, but from what I've understood my Radeon 4870 automatically outputs full 4:4:4 0-255 color when using this cable.
Now, this makes absolutely no sense to me. The TV's native resolution is 1920x1080, right? That should mean that by feeding it 1920x1080 should more or less automatically result in a pixel mapped picture that covers the entire display!
So, my question is:
How can i get a pixel mapped picture that extends to the full display and leaves no black borders when using the TV as monitor to my HTPC through a DVI-HDMI cable?