UK/Ireland-based
Lesbian and Gay Christian Movement
Reform Ireland (no response from the English one)
US or Canadian based
Anglican Communion Network and Anglican Communion Council (2 separate organisations but one statement)
Moderator of Anglican Communion Network
Anglican Communion Institute
On Reading the Primates’ Communique
THE COMMUNIQUE IN CONTEXT
What happened at Newry?—An ACI Response
Simon, I can add a few more links of group responses to your compilation. I'm tired and thus being lazy in some cases and using Kendall's Titusonenine links, rather than going to the home page of each organization.
Anglican Mainstream:
http://www.anglican-mainstream.net/news05022403.asp
FiFNA:
http://titusonenine.classicalanglican.net/index.php?p=5156
Network Deans
http://titusonenine.classicalanglican.net/index.php?p=5117
Anglican Essentials (March 1)
http://www.anglicanessentials.ca/readarticle.php?article_id=23
Anglican Essentials (Feb. 26)
http://www.anglicanessentials.ca/readarticle.php?article_id=22
IRD (this is perhaps more a personal statement by President Diane Knippers than an official organization response.)
http://www.ird-renew.org/Episcopal/Episcopal.cfm?ID=1055&c=21
OASIS California
http://www.oasiscalifornia.org/primates2.html