I started playing Gran Turismo around 2003, when I was 5 years old (yes, I was born in 1998, basically along with GT series). The funny thing is that, despite having my first contact with videogames on the PS2 era, my dad first bought me a PS1 because a PS2 was way too expensive in 2003-04 here in Brazil, like anything else. On the very early days, my father would bring lots of games for me, as I was too young and unexperencied to specify what I wanted to play. At first I only knew I wanted cars, then I started with racing games. I remember it took me a couple of days (or maybe weeks?) to finally discover Gran Turismo 1, and boy... what a joy it was. The graphics, the car selection, the gameplay, I was in heaven. It didn't take too long for GT to become literally the only PS1 game I played for the next couple of months, until the day my dad presented me with GT2, and that made me fall in love with the series even more. GT2 was the pinnacle of my PS1 experience, and that lasted from 2003 to 2006.
Then, my dad finally could buy me a brand new PlayStation 2 in 2006. (PS2s started to become affordable here around that time, right when the PS3 was launching worldwide. These are the struggles of a developing country.) After that, he bought me GT4 right from the start, because, you know, at this point he knew Gran Turismo was the only thing for me. This was the game that broke my chronological advance on the series. I would play GT3 only a few years later (around 2008), but this game didn't grab my attention at all back then. It was a good game, but after 2 years playing GT4, my 10 year old self felt GT3 was too basic and simplified, then I came back to GT4 only after like, a week playing GT3.
My PS3 days started in mid 2011, a couple of months late for GT5, but then I quickly got one and I've never missed a Gran Turismo launch date since then.
Sorry I've told you more than you asked for, but here is the complete story.