I've been there and lived that life, OP. Let me tell you how it went.
I owned both a PS1 and a Saturn in those days (both bought super-cheap as second-hand), and of course the PS1 was objectively superior...for 3D games, which were new to most console gamers and all the rage back then, so of course I had to have one. But my first true console love was the Saturn, and it maintains a large pull on my gaming heart to this day.
Yes, even though I was a young teen in the UK, where most of the most amazing Saturn games never appeared, there was still enough to keep me satisfied. Utterly unique games like Nights, Panzer Dragoon (all of them), Astal (which I just bought off eBay), not to mention most, if not all the best versions of the leading arcade shooting and fighting games of the era (yeah, not including Namco, and I wasn't a Tekken fan before 5) and you have one of, if not the most charming and eclectic game libraries outside of the PS1 and Dreamcast.
Believe me, I'm not denigrating the PS1's library at all - I still haven't begun to skim below the surface of its shmup selection, for starters - but I can't find it in me to regard the PS1's 2D fighter selection to be anything but inferior to the Saturn's (thanks to the RAM carts that came with some Capcom and SNK games), and some of the Saturn's landmark titles (Virtua Fighter 2, Sega Rally, Shining Force 3, Magic Knight Rayearth, both Virtua Cops, Nights, etc) both aren't available on any other console (until PS3 for VF2 and SR, of course), and were instrumental in forming my current taste in games. I can't really say that for the PS1, even though it too had a lot of excellent exclusives. I guess it really is feels before reals, after all.
(I also prefer PC Engine over NES, mostly because I never had access to a TG16 in the UK at the time, but also because I think NES games look like crap. See? It's just a matter of taste!)