I wasn't born yet when the original and the first revival were made (I'm 24), however I was a big Twilight Zone fan while in high school. So the year was 2003 and the second revival was being aired on Fox... I was a freshman in college and had enough time to watch it.
While the dialogues, places and the overall atmosphere looks more familiar to me on this new Twilight Zone, most of the screenplays lack the feeling from the old classic series. They don't have that characteristic superb twist and the end anymore and some of them are really predictable. The episodes from the classic series where awesome and I think they scared a bunch of people back then, but this revival has failed on that matter. But anyway, to be honest I don't blame new Twilight Zone's writers for this since some of the feeling that made this show so great was lost during the 80's revival.
This is overall a good show if you don't have anything else to do, otherwise stick to the classics.