In '98, I was pretty busy playing through many seminal games of the era, like Goldeneye, Banjo-Kazooie, Ocarina of Time, Metal Gear Solid and although not as important as the ones previously mentioned, Turok 2 (Starcraft, Half-Life, Unreal, Thief and many other games of that time would come much later as I was busy with consoles back then).
My prediction about gaming back then, would be bigger and better games, no more polygonal characters, no more "pixelated" graphics, shorter loading times (wich hasn't been adressed to this day in consoles), and everything just plain better, back then I wasn't dreaming about holodecks or something like that, I just wanted to improve everything we already had back then.
I wanted consoles to look as awesome as arcade games, if not better. (It's been a while since we got past that point)
Seriously... '98 - 2000 were great years for gaming, everything was fresh and exciting. Nowadays I'm still pretty excited and positive about gaming, but there are a few things that can make it hard not to be excited about it anymore.
I think I'd be incessantly weeping if I'd know what Rare has become in 2012... And that Killer Instinct 3 would never be released... ever...