As I have no intention of ever giving a dime to the Red Cross, I refer all who are interested to this list of charities for Hurricane Katrina relief.
Catholic Charities
http://www.catholiccharitiesusa.org/news/katrina.cfm
is involved, and probably has lots of resources to draw on in the heavily Catholic New Orleans area.
Austin Bay is recommending Episcopal Relief and Development.
http://www.er-d.org/
Liz at Rightalk suggests that animal lovers donate to the Humane Society.
https://secure.hsus.org/01/disaster_relief_fund_2005?
Here's a link to Mennonite Disaster Services. The Sanity Inspector says they're highly efficient.
http://www.mds.mennonite.net/
Here's the link for Methodist Relief.
http://www.methodistrelief.org/site/pp.asp?c=bhKNI4PHIpE&b=876335
Lisa Larkin recommends Operation Blessing.
http://www.ob.org/
The Salvation Army does good work. (WalMart just gave them a million dollars, but that's just the barest beginning of what's needed.)
http://www.salvationarmyusa.org/
Hugh Hewitt recommends Samaritan's Purse
http://www.samaritanspurse.com/
Scott Ott recommends Southern Baptist Disaster Relief.
http://www.namb.net/site/c.9qKILUOzEpH/b.224451/k.7BDB/Disaster_Relief_Homepage.htm
United Jewish Charities.
http://www.ujc.org/