I think some of it goes both ways. There are certain games that are classics simply because they're awesome, and they'll likely continue to be classics for a very long time. But there are still plenty of good games made today, you just might have to dig a little deeper depending on which design philosophies you enjoy. I, for one, like the
idea of games being "accessible," but in practice most games I've seen that are billed as accessible tend to be mind-numbingly easy. I personally like a good challenge, as long as the game isn't dreadfully dull to learn in the first place.
There's definitely some ageless appeal to certain older games, though. My cousin, who's a teenager, plays tons of (cover-based, mostly) FPS games, but when I let him play DOOM for the first time last Thanksgiving, he was immediately and completely hooked.
Psyringe: I started playing video games in the 70s, and I still regularly get blown away by games. The last one that did that was
Treasure Adventure Game. :)
It's interesting, though, that I got blown away by such an old-school title, while I'm currently playing through "Tomb Raider: Legend", being thoroughly unimpressed.
I was also very impressed by TAG. It has a lot of the characteristics and traits of older fighting-platformer games like Mario, Zelda, and Mega Man, but it's a lot easier to get into. (Though the controls are kinda wonky.) It can get pretty difficult but it's never punishingly difficult like the old games are. Like, I got frustrated several times but never actually had the urge to throw the controller at the screen. Plus it's open and free-roaming but still has plenty of gated areas.