Aside from anything in the Pokemon series, one of my first favorite games was Sonic Adventure. As a little five-year old, I loved wandering around and talking to the NPCs in the Adventure Fields. I am pretty sure I am one of the only fans of that game that enjoyed the overworld areas, but it's probably just that Sonic fans, when not ranting about Sonic's eye color, prefer straight platformer gameplay.
And around the age of nine, my sister purchased a used copy of Harvest Moon 64. I even remember that she didn't want me to tell our dad because it cost $40. Even though I have largely moved toward mobile gaming since the newer console generations, I still love playing it on my N64 from time to time. Reminds me of how some fans have called the newest installment about on-par with Harvest Moon 64...I'll lobby for a 3DS for Christmas. :D