These are my fav ps2 games:

Shadow of the Colossus
Mercenaries
Resident Evil 4
Freedom Fighters
Max payne

Well it depends on what games you like for my self i like RPGs and and adventure and some racing games.

but ill tell what games i have and never sold them:

PS2:

Ratchet and clank 1,2, and 3
Jak 2 (still looking for first and third and Jak X)
Bully
Sly 2, and 3 (still looking for the first one)
Samurai Legend Musashi
Devil May Cry 1,and 2 (still looking for the third one)
Final Fantsy XII
Dirge of Cerberus: Final Fantasy VII
Crash Twinsanity
Kingdom Hearts 1 and 2

And for PSP:
God of War: Chains of Olympus
Pursuit Force
FFVII Crisis Core
Daxter
Ratchet & Clank Size Matters
Pirates of the Caribbean Dead Man’s Chest
FF 1 and 2

but im waiting for FF Dissidia, FFXIII Agito and Jak and Daxter 4(The Lost Frontier and they did say that there well be a PS2 and a PSP and a PS3 ver but the ps3 one its going to be released in 2010 ) and of course Kingdom Hearts Birth By Sleep

After all it depends on what games you like Laters

I am an ebay power seller and have a playstation 2 game store. I have quite a few games listed right now and I’m sure you can find something you’d like for much cheaper than at the store there are a lot of options and I’m not sure exactly what type of games you like but I’ll give you a link the the store and to a few of the popular games

Store Link:

Kingdom Hearts

Call of Duty 3

Monster 4×4: Masters of Metal

Silent Hill 2

War of the Monsters

I have played almost every game for PSP and my personal favorites are:

Action RPG games: God of War: chain of Olympus, Crisis Core: Final Fantasy, Monster hunter freedom 1 and 2, GTA LCS and VC

Shoorting game: Resistance Retribution, Socom and Syphon filter

Racing: Burnout Legend, Ridge racer

Tactic games: Jeanne D’arc and Disgeae

Fighting: Takken (one and only)

PS2:

Bully
GTA 3
GTA San Andreas
Gran Turismo 3 or 4
Need 4 Speed series

PSP:

WipEout Pure
The new Resistance
Ratchet and Clank Size Matters
GTA Vice City
GTA Liberty City

Playstation:

Star Ocean Second Story
Final Fantasy 7
Dragoon (great game, my first RPG, fell in love with it)

Playstation 2:

Radiata Stories (Pretty good just have to get past the beginning and get into it more. Really detailed and in depth stuff.)
Star Ocean
Final Fantasy 12

Hope this helps, all the games are worth playing. Enjoy!

for ps2, i reccoment buying racing games, such as midnight club 3, or sports games, such as street [nba and nfl].

for psp, i suggest midnight club la remix, final fantasy crisis core, god of war chains of olympus, kindom of paradise, medal of honor 1 and 2, monster hunter series, and madden nfl 09

ps2-
monster hunter
jak 1
jak2
jak3
jak X
Kingdom hearts
Kingdom hearts 2
Final fantasy 7, 12

psp-
monster hunter freedom
monster hunter freedom2
final fantasy 7 crisis core

Good Luck!