Platformers:
* LittleBigPlanet: A charming and creative platformer with a focus on user-created levels.
* Ratchet & Clank: Size Matters: A fun and action-packed platformer with a humorous story.
* LocoRoco: A unique and adorable puzzle-platformer with a focus on rhythm and movement.
* Sly Cooper and the Thievius Raccoonus: A charming stealth platformer with fun gameplay.
Action/Adventure:
* Kingdom Hearts: Birth by Sleep: A fun and engaging RPG with a focus on action and story.
* Jak and Daxter: The Lost Frontier: A fast-paced action-adventure game with a focus on exploration and combat.
* Patapon: A unique and rhythmic strategy game where you command a tribe of Patapons.
* Ape Escape: A fun and challenging action game where you capture mischievous monkeys.
Puzzle/Strategy:
* Brain Age: A collection of brain-training games designed to improve cognitive skills.
* Professor Layton and the Curious Village: A charming and challenging puzzle game with a focus on deduction and logic.
* Lumines: A visually stunning and addictive puzzle game with a focus on matching blocks.
* Puzzle Quest: A fun and addictive mix of RPG and puzzle gameplay.
Racing:
* Wipeout Pulse: A fast-paced and futuristic racing game with a focus on skill and strategy.
* Ridge Racer 7: A classic arcade racing game with a focus on speed and drifting.
* MotoGP 07: A realistic and challenging motorcycle racing game.
Other:
* Minecraft: A sandbox game where you can build anything you can imagine.
* LittleBigPlanet PSP: A platformer with a focus on user-generated content and creativity.
* FIFA Soccer: A popular soccer game with a focus on realism and strategy.
* Rock Band: A rhythm game that lets you play along with your favorite music.
Before purchasing any game, consider the following:
* ESRB Rating: The ESRB rating will give you an idea of the game's content and suitability for your child.
* Game Reviews: Read reviews from other parents and children to get a better understanding of the game's gameplay and content.
* Your Child's Interests: Choose games that align with your child's interests and play style.
Remember, these are just suggestions, and the best PSP game for your 10-year-old will depend on their individual preferences. It's always a good idea to try out a few different games before making a decision.