Hi,
1. Does this issue occur when you play games in Internet Explorer as well?
2. What is the exact error message you receive when you play online games?
I would suggest you uninstall and reinstall Shockwave Player and Adobe flash player and check if that helps. Refer the following link to uninstall and reinstall Shockwave Player and Adobe flash player.
http://kb2.adobe.com/cps/403/kb403264.html
http://kb2.adobe.com/cps/191/tn_19166.html
If the issue persists then contact Google Chrome support regarding the issue.
http://www.google.com/support/chrome/bin/request.py?contact_type=contact_policy