Hi
Sorry I thought YOu are unable to see Asset master instead of asset class.
Can you Please check Transaction OAOA and see whether assets are classes are define there or not . as asset classes afre client level so they should be aviabale for all company codes and whenever you copy COD from Sapmle Chart od dep system automatically copy standard Assets classe.
So please check OAOA. I believe in As01 you doesn't see all asset classes if you haven't created any asset master for that class.
Please try below 2 things
1) check OAOA transaction code
2) Please create a new asset master for any other asset classe( do not choose asset class from drop down ) please enter manually .
3) some time when you do Drop down you can't see option of other asset classe .Please check The highted Push buttom in your screen from below screen shot. Please click on the that will display all asset class