FF:8 is the one game from the series that I own and I've played the least. Basicaly because it was a copy and it would always stuck for a random amount of time (from 4sec to 12min) every here and then on cutscenes, or the black screen that indicated a random encounter would just stay there taunting me. Still, I recall a few interesting points that haven't yet be mentioned and might interest people.
First of all, it's got a really big amount of side quests and things to discover that even though they won't turn the tides of the game, they're still part of its magic. From the village of those orange fury animals (I think you meet the first of their kind while controling Laguna in the past) to Selphie's personal data at her original Garden and from the UFO (!) hunt to Zell's romance with the librarian girl. It's got enough stuff that you'll definitely miss on your first time finishing the game and some that you won't find even after your third attempt.
The Triple Triad card game is surely a "game inside a game". I must admit that at first you might want to just skip playing it 'cause it's far more complex than the FF:IX's one. Elemental terrain that powers up the cards, rules that change depending on the region you're playing it and the rare cards you'll be getting from defeating certain players. It's exactly as exciting as it was described in the previous posts.
Gameplay wise, there were a few issues that...intrigued me. The Square spam to boost the GF's attack, the R1 (if I recall) that when pressed at the right time during the hit it'd increase the damage done by the players' Attack (I'm 95% sure it worked on more than just Squall. I've managed to get it to work for Rinoa, Selphie and Zell [the hardest one] so I suspect it'd work for everyone). The Draw system would be Ok for a normal player I suppose but... for me it was quite troublesome. 'cause I just had to Draw one full stack of a magic I first encounter for each one of the character (that's a total of 99 x 3 = 297). Don't ask me why, it's the voices inside my head. And with the way junction works (Certain GFs allow you to empower your Stats with Magic, p.ex. add a stack of Fire magic on your Strength and it'll go up for quite much) ensured that I never ever used any magic at all. 'Cause I wanted to always have the full stack (99) junctioned. I'm just saying how I did it, it's definitely not the proposed style of play.
Oh, on an important side note: Don't try looking for armor/trinkets. You can only change weapons.
And yes, the story is far fetched at some points
(Lunar Cry [if I remember the name of the even when the monsters drop inside a blood-like liquid from the Moon on Earth], the whole space travel [along with what they encounter there] and, most definitely, the final boss battle(fields)).
On the whole, it's a game that FF fans must play. The atmosphere (technology, timeline, lifestyle) is different from the typical Final Fantasy games. The characters get a quite interesting development too.
Still, I think I might have enjoyed FF:VII more.