The InclusiveChurch and Changing Attitude response was already published here.
Fulcrum has published two documents: Fulcrum response to the Communiqué of the Primates’ Meeting February 2007 and Fulcrum response to the Covenant for the Anglican Communion.
Integrity has published Primates Choose Bigotry Over Baptized.
Affirming Catholicism Primates aim to keep Americans in the fold
I will add links to other group statements here as I discover them.
See also Episcopal groups react to Primates’ communiqué from ENS.