My first exposure to Phantasy Star II was when I visited my older brother at his new apartment and he showed it, and King's Bounty, to me on his roommate's Sega Genesis. That was the first time I had ever seen animated monsters in a RPG and it blew my mind at the time. And, because I was a lame kid, I even tried physically imitating some of the monsters (particularly the creatures that sit on the ground, twittling their thumbs, before suddenly standing erect and smashing your party when they attack).
When I was in college, I remember finding a complete copy of PS2 (case, manual, etc.) in a video rental store that was liquidating its 16-bit stock for cheap ($10), and then, when I got home with it, the damn battery save was dead (sob), so, I had to return it. The only version I have of it now is the emulated version on the Playstation 2 Sega Genesis Collection compilation disc (which also has PS3 and PS4 on it too).
While I like PS2 and have played it all the way through and completed it without cheating, all-in-all, I have to say that some of the dungeons are just too confusing and it's very grind-heavy--no matter how much you level up, the bio-monsters and robots always seem to have the advantage against your party. I like the setting/story/characters (especially Nei and the preying mantis-like Locusta monsters) of the game, but I can't say that it's very much fun to play compared to other RPGs. PS3 and PS4 are much more player friendly to me.
Group photo of the Phantasy Star II Rabbit, Kite Dragon, and Twig Tall figures (which are NOT to scale with one another) that I've made over the years: