Amiga
Eye of the Beholder
Dungeon Master
The Bard's Tale
Ultima series

PC
Icewind Dale
Baldur's Gate
Neverwinter Nights
Diablo
Dungeon Siege
Titan Quest
Deus Ex
Dark Age of Camelot
Gothic
Gothic 3
Risen
Sacred 2
Fable
Two Worlds
The Witcher
Mount & Blade
Dragon Age Origins
Daggerfall
Morrowind
Oblivion

X360
Fable 2

PS3:
Fallout 3
Dragon Age 2
Two Worlds 2
Dungeon Hunter
Skyrim
Demon's Souls
Dark Souls
Dragon's Dogma

N64:
Paper Mario

GCN:
-Papper Mario: TTYD
- FF: Chrystal Chronicles (only half)

PS2:
- Final Fantasy X and X-2
- Persona 3 (Not that far at the moment)
-

GBA:
- Mario & Luigi: Superstar Saga
- Final Fantasy IV and V
- Pokémon Ruby
- Pokémon Emerald
- Pokémon FireRed

NDS:
- Mario & Luigi: Partners in Time (I don't like it)
- Mario & Luigi: Bowsers Inside Story
- Pokémon Diamond & Pearl
- Pokémon Platinum
- Pokémon White
- Pokémon Mystery Dungeon: Blue Rescue Team
- Pokémon Mystery Dungeon: Explorers of Darkness
- Pokémon Mystery Dungeon: Explorers of Sky
- Chrono Trigger
- Final Fantasy IV DS Version

Wii:
Xenoblade Chronicles (Half through and playing)
Super Paper Mario
Fire Emblem: Radiant Dawn

PC:
Runescape
World of Warcraft

NES:
The Legend of Zelda 2

GBC:
- Pokémon Yellow
- Pokémon Red

SNES:
Super Mario RPG: The Legend of the Seven Stars

Intellivision:

AD&D: Treasure of Tarmin (my first RPG!)

Arcade Games:

Some RPG I can't remember, you could choose between a warrior or wizard PC and it had 2D sideview like a platformer.

ZX Spectrum:

A few rip-offs of which I can't remember the titles.

PC:

Diablo
Icarus: Sanctuary of the Gods
Ultima Underworld: The Stygian Abyss
Fallout 2
Lands of Lore III
Deus Ex
Throne of Darkness
Gothic
Morrowind
Temple of Elemental Evil
Planescape: Torment

Not many, but I usually try to completye them 100%. My backlog contains another 10 of them and my wishlist is growing too, I got and want more of them than I can actually play!   

If I remember correctly:

SNES -- Final Fantasy 6 (the very first RPG I played), Super Mario RPG and Chrono Trigger

N64 -- Quest 64 (what a POS) and Paper Mario

Playstation -- FF7, FF8, FF9, Xenogears, Legend of Dragoon and a few others I don´t remember the name (this was the period when my enjoyment with JRPGs was at its peak)

PS2 -- FF10 (the last JRPG I really enjoyed) and FF12 (played a few hours, lost interest)

GameCube -- the Paper Mario game for the system

Xbox -- Star Wars KOTOR (the very first WRPG I played) and Jade Empire

X360 (this is the period when I practically lose all my excitement with JRPGs) -- Oblivion (the game that really made me prefer WRPGs over JRPGs), Fallout 3, Fallout NV, Skyrim, all three Mass Effect games....though, I will say Lost Odyssey just might 'make me smile again'..it just might.

Wii -- Super Paper Mario (another POS, both of its predecessors take a dump all over it)

Man, some people here are RPG monsters!

My list is probably not complete, I don't think I will remember them all, but none the less will pale in comparison (in no particular order):

1. Legend of Zelda: A Link to the Past
2. Zelda: Ocarina of Time
3. Mass Effect 2
4. Final Fantasy 7
5. Final Fantasy 8
6. Final Fantasy 9
7. Final Fantasy 10
8. Final Fantasy 10-2
9. Chrono Cross
10. Demons' Souls
11. Dark Souls
12. The Elder Scrolls: Arena
13. Final Fanatsy 7: Crisis Core
14. Baldur's Gate 2: Shadows of Amn

That's all I can remember for now.

Not as many as I'd like to believe as an RPG fan, really:

Final Fantasy VI, VII, VIII, IX, X, XII, XIII

Final Fantasy Crystal Chronicles & Crystal Bearers (if that counts)

Wild ARMs 1, 3, 4, 5

Grandia 1 & 2

Star Ocean: 'Til the end of time (awful, btw)

Enchanted Arms

Pokemon Red & Gold

Xenoblade Chronicles

I would totally disagree. How many Zelda games can you spend hours grinding to up your stats. Yes you choose which stats are improved when you gain a level, but I would totally consider Zelda 2 an RPG.

Quest for Glory & Skyrim

All other games generally considered Role Playing are just action games where you level/class up through tedious menu driven selections breaking whatever level of immersion in whatever "role" you supposed to be playing.

Also, I consider Metroid Prime and Zelda to be better immersive role playing expeirences than anything Final Fantasy like.

My favorites are Skyrim, Pokemon series, Zenonia series (iOS), Dragon Quest 9 and Radiant Historia (both DS)