As a SEGA fan, at first I wasn't very much of a fan of the system, but it definitely proved itself with its awesome library (whose games I'm still playing/discovering - in the middle of P4 right now), to become one of my favorites. So much better than what came afterwards as far as game consoles are concerned.
I got my PS2 for Christmas 2001 - I saw the writing on the wall with the DC and that all the RPGs were coming to the PS2. FFX, MGS2 and DMC were the games that sold me. I remember asking for one and that Christmas, my mom told me I'd get a gift that I would LOVE. So I'm like "yeah, the PS2. I know." and my mom was like "nope.. you'll see"... so I opened the PS2, copies of aforementioned games, and then got another gift... a small jewelry box. Opened it up and it was car keys to my mom's Accord! Best Christmas EVER!!!