I'm a Generation Z baby, and my first games were on a used PSOne passed down to me from my dad. I also had a PSP around the same time, which I still have to this day.

My first PSOne games, in no particular order:
Final Fantasy Tactics, Parasite Eve, Vagrant Story, Chrono Trigger, Illusion of Gaia, The Legend of Dragoon, Legend of Mana, Crash Bandicoot, and Final Fantasy (VII, VIII, and IX).

Le PSP games, including both old and my favies:
Crisis Core Final Fantasy VII, Final Fantasy Tactics: The War of The Lions, Monster Hunter Freedom Unite, Dissidia, Tekken: Dark Resurrection, Harvest Moon: Hero of Leaf Valley, Parasite Eve: The 3rd Birthday, and Littlebigplanet.