Below are links to some awesome videos that talk about family friendly games that also teach reading/math skills.  Click on them to find out more.

Colorku, Tactacku, and 22kudu  - Math Games
VisualEyes  - A word game.
Suitcase Detective  - A visual acuity game.
24 Game  - Math Game with addition, subtraction, multiplication, or division.
Double Shutter  - A Math Game
10 Days in the USA  - A geography game.
7 Ate 9  - A Math Game.
Anomia  - A Quick Word Game
Letterflip 
Quiddler 
Once Upon a Time  - A Storytelling game.
Reverse Charades 
You've Been Sentenced 
Zoob Challenge  - A creative game with multiple solutions.
Quoridor 
Blokus 
Rummikub 
Squint, Jr. 
Enchanted Forest 
Upwards  - A 3-D Scrabble game.
The Last Word  - Verbal Word Game.