would like to have a list of all the predominantly anglosaxon
countries; and a description of their anglo saxon root and it's spread

Hiya try this link;

http://www.nationmaster.com/encyclopedia/Anglo-saxon

The term "Anglo-Saxon" has two connected, but rather distinct,
meanings. On the one hand, it refers to the people of German origin
who occupied part of England in the 5th century, who are the subject
of the website quoted by gp1-ga. More recently, however, the term is
also used for the people of countries colonised originally by British
people (though also by many other nationals) whose language is
English. Thus, the US, Canada, Australia etc are often described as
"Anglo-Saxon nations", though I suspect that many of the nationals of
those countries deeply resent this terminology.