I am excluding HD collections, I will try to come up with my own list, although there are several games I would like to play but haven't yet

PS1

5.Tekken 2
4.Final Fantasy IX
3.Spider-Man
2.Street Fighter Alpha 3
1.Crash Bandicoot 2: Cortex Strikes Back

PS2

5.Prince of Persia: Warrior Within
4.Dead or Alive 2
3.Tekken Tag Tournament
2.WWE SmackDown!: Here Comes the Pain
1.Final Fantasy X

PS3

5.The Last of Us
4.Uncharted 2: Among Thieves
3.Final Fantasy XIII
2.Heavy Rain
1.Street Fighter IV

PS1-

1. Gran Turimso 2
2. Crash Bandicoot
3. Gran Turismo
4. Crash Bandicoot 2: Cortex Strikes Back
5. Spyro The Dragon

PS2-

1. Fina Fantasy X
2 Ratchet and Cank
3. Gran Turismo 3
4. Jak and Daxter
5. Final Fantasy XII

PS3- Void

PS1

5. Silent Hill
4. Final Fantasy VIII
3. Crash Bandicoot 3
2. Metal Gear Solid
1. Resident Evil 2

PS2

5. Socom 2
4. Mortal Kombat: Deception
3. Metal Gear Solid 3
2. Grand Theft Auto: San Andreas
1. God of War II

PS3

5. Mass Effect Trilogy
4. God of War III
3. Killzone 2
2. Metal Gear Solid 4
1. The Last of Us

PS1
1. MGS1
2. Medieval
3. Army men Air Combat
4. Crash Bandicoot
5. SpiderMan

PS2
1. MGS2
2. MGS3
3. FFX (one of the few JRPG I liked)
4. Silent Hill 2
5. Ratchet and Clank going commando

PS3
1. MGS4
2. Uncharted 2
3. Resistance
4. Killzone 2
5. LBP

PS1

5. Crash Bandicoot: Warped
4. Crash Team Racing
3. Final Fantasy VII
2. Final Fantasy IX
1. Metal Gear Solid

PS2

5. Final Fantasy X
4. Ico
3. Dragon Quest VIII: Journey of the Cursed King
2. Metal Gear Solid 3: Snake Eater
1. Shadow of the Colossus

PS3

5. Dragon's Dogma
4. Red Dead Redemption
3. The Last of Us
2. Uncharted 2: Among Thieves
1. Demon's Souls

Also, PS2>PS1>PS3 for me.

PS1

1. Metal Gear Solid
2. Spyro: Year of the Dragon
3. The Legend of Dragoon
4. Rugrats: Search for Reptar
5. Toy Story 2: Buzz Lightyear to the Rescue!

PS2

1. Final Fantasy X
2. Dark Cloud 2
3. Dragon Quest VIII: Journey of the Cursed King
4. Kingdom Hearts
5. Metal Gear Solid 2: Sons of Liberty

PS3

1. Uncharted 2: Among Thieves
2. The Last of Us
3. Call of Duty 4: Modern Warfare
4. Red Dead Redemption
5. Portal 2

Mine aren't going to be in any order and will have a lot of rpgs :D

PS1

*Lunar Eternal Blue
*Final Fantasy VIII
*Final Fantasy IX
*Suikoden 2
*Lunar Silver Star Story

PS2

*Dragon Quest VIII
*Final Fantasy X
*Tale of The Abyss
*Persona 4
*Timesplitters 2

PS3

*The Last of Us
*Dead Space
*Dragon Age: Origins
*Tales of Xillia
*Uncharted 2

PS1
1. Metal Gear Solid
2. Crash Bandicoot: Warped
3. Gran Turismo 2
4. Tekken 3
5. Driver

PS2
1. Metal Gear Solid 3: Snake Eater
2. Grand Theft Auto: San Andreas
3. Ratchet & Clank: Going Commando
4. Ratchet & Clank: Up Your Arsenal
5. Resident Evil 4

PS3
1. The Last of Us
2. Uncharted 2: Among Thieves
3. Red Dead Redemption
4. Mass Effect 3
5. Batman: Arkham City

ps1:
castlevania sotn
suikoden 2
mgs
ffvii
legacy of kain soul reaver

ps2:
okami
shadow of the colossus
suikoden 3
mgs3
god of war

ps3:
uncharted 2
demon's souls
ni no kuni
yakuza 3
infamous 2

Im leaving out duplicated (Persona 3 and 4 would be top 5 for both ps2 and vita/psp. Atelier Rorona would be on Vita also, FF Tactics on PS1...)

PS1:
1.. Suikoden 2
2. Chrono Cross
3. Final Fantasy IX
4. Legend of Dragoon
5. Persona 2

PS2:
1. Suikoden 3
2. SMT: Nocturne
3. Beyond Good and Evil
4. Shadow Hearts 2
5. Wild Arms 3

PS3:
1. Demon's Souls
2. Valkyria Chronicles
3. Atelier Rorona
4. Tales of Graces F
5. Tales of Xillia

For shits and giggles:

Vita:
1) Persona 4 Golden
2) Demon Gaze
3) Mind Zero
4) Rainbow Moon
5) Ys: Memories of Celceta

PSP:
1) Jeanne D' Arc
2) Persona 3 Portable
3) The Legend of Heroes: A Tear of Vermillion
4) Final Fantasy Tactics: War of the Lions
5. Wild Arms XF