Low refresh delay (ms) & High Contrast (1000:1 is typical) are most important for gaming.
Brightness about 300 cd/m2 is typical -> brightness higher than 300cd/m2 is really only needed if you intend to play games in full/direct sunlight.
The quality of DVI/HDMI digital signal versus ye-olde RGB DSub is remarkably similar to the comparison of DVD versus VHS .... it's a no contest. DVI/HDMI digital stomps all over analogue.
Of course, you can get DVI analogue, but there's no real point.
1000ms/8ms = 125Hz refresh rate .. it's enough, but 5 years ago, back when I played alot of FPS games, I was considering the 6ms screens with DVI, I'd be surprised if there hasn't been considerable progress since then. However, I settled on an expensive ($1000) 24" LCD instead with 8ms response, which is adequate.
Anything without DVI is ancient, and not worthy of your cash, and definitely not compatible with bluray. The last few video cards I've purchased didn't even come with the old 15pin DSUB, they came with HDMI, DVI and Display Port only. To get ye-olde VGA DSUB connection, I had to dig out an old analogue DVI/VGA adapter.
Buying a monitor now, which only has analogue input is just pure silly. Leave it for the poor and ignorant people.