PSX/PS2 Good story

Since there was a helpful topic recommendation for good stories in games on the psp I was wondering for some recommendations for any RPG games on psx and ps2 with good stories.(Excluding Final Fantasy series)

Edit2:Here is a list of games I can think of either know/played/own which doesn't need a recommendation
PSX
Chrono Cross
Suikoden Series
Tales of Destiny 2
Legend of Dragoon
Persona Series
Final Fantasy Series
Breath of Fire 3+4
Lunar 1+2 (waiting for psp version)
Star Ocean series (PSP version)

PS2
Mana Khemia 1+2
Radiata Stories
Ar tonelico 1+2
Dragon Quest 8
Star Ocean till end of time
Persona Series
Shining Force Neo
Kingdom Hearts 1+2
Final Fantasy Series
Xenosaga episodes
Valkyrie Profile 2
Suikoden Series
Wild Arms 4+5
.hack series
Arc the Lad
Breath of Fire 5
Grandia 2
Odin Sphere
Tales series

PSX:

- Parasite eve 1 and 2
- Chrono Cross
- Suikoden 1 and 2 (if you can find a copy)
- Valkyrie profile (if you can find a copy)
- Tales of destiny 1-2


PS2:

- Persona 3-4
- Suikoden 3
- Xenosaga 1-2-3

PSX:

- Xenogears
- Vandal Hearts 1
- Wild Arms 1&2
- Brigandine
- Vanguard Bandits
- Tactics Ogre

Here's some that I didn't see mentioned.

PSX:
Lunar Silver Story
Lunar 2 Eternal Blue
Arc The Lad Collection
Grandia

PS2:
Atelier Iris 1-3
Odin Sphere
Tales of The Abyss
Phantom Brave
La Pucelle Tactics

PSX: Vagrant Story, Parasite Eve 1-2

Also, anything Shin Megami Tensei-related (not just the Persona series).

PS2: Dark Cloud series

Would suggest more, but I only owned my PS2 for ~6 months.

So far so good keep them coming also thanks for the the recommendations so far