The games on these websites are non violent and most are educational in nature.  Students will find games of strategy, logical thinking, basic skills, spatial reasoning, games to improve their hand-eye coordination, and many others.

Primary

PBS Kids

Kerpoof

All Grades

Arcademics (all sorts of skill buildiing games for all subjects K-6)

Cool Math

Brain Games

Funbrain

Hooda Math

Interactive Activities

Knowledge Adventure

Learning Planet

Math is Fun

Math Playground

National Library of Virtual Manipulatives

Physics Games One of my favorite sites.  All games are trial and error with levels of difficulty.  One of my favorite ones is "Vampire Physics" - a real scream!

Primary Games

Scholastic Games

WebPaws

KEYBOARDING PRACTICE

 Typing Games  
 Froggy Typing Game   Fun!
 Hyper Spider Typing Game  
 Baracuda Typing Game  
 Pac Man Typing   Challenging!!!

SCRATCH (Learn Computer Programming)!

I highly recommend downloading SCRATCH - it's a computer programming software (works on both Mac and PC).  Kids can make their own games, animations, simulations, multi-media projects, etc.  This is totally FREE - created by the extraordinary minds at MIT.