Samsung Game Mode with Wii
I use a Samsung that has game mode. I believe the game mode turns of extra image processing, in order to increase response time from 8ms to 3ms. Those figures were printed on a sticker attached to the set in the store, but i've never been able to find them anywhere n the manual. The changes it makes to image quality seem intended to put the TV into a neutral state. Game consoles (I use the Samsung with a Wii via component imputs) provide a clean signal, so the game setting basically lets them do their thing and show you what the game makers intended.
Some people have complained that the game mode negatively effects image quality, but perhaps some of these people are acclimated to viewing images in one of their tv's enhanced modes (such as "dyamic" on Samsung TV's) that dramatically messes with the true image in order to deepen blacks, make colors pop, etc. These special enhanced modes can look good on tv shows, but they are altering the intended look and you can end up losing fine detail (even though you might have the illusion of enhancing it.) after you've been viewing your tv in an enhanced mode or with custom settings for a while, your eye gets used to it that way. when you suddenly return an image to a more neutral state (such as game mode) it can suddenly look sub-par. But if you live with it for a while and adjust the basic settings that can still be changed in game mode (brightness, contrast, sharpness, color, tint) to your liking, you will be able to better appreciate the difference (or not.)
I've experimented with lots of different modes and have ultimately settled into using the gaming mode for games. the only time i don't is when playing extremely dark games (ones intended to be dark) so that i can access the custom settings and increase the gamma to better resolve details in dark, shadowy game worlds. just to make the game a little easier.