I think secular or non-religous would be a better choice of words, and there are plenty.
Religous groups account for "31% of all donations", so that leaves a lot for other groups.
https://www.charitynavigator.org/index.cfm?bay=content.view&...
Religous groups account for "31% of all donations", so that leaves a lot for other groups.
https://www.charitynavigator.org/index.cfm?bay=content.view&...
https://www.charitynavigator.org/index.cfm?bay=search.summar...
That 31% is donations to churches (from what I'm reading). Not donations to charities organized separately from the churches.
So if there is a catholic charity which focuses on Haiti, then that would be excluded from the 31%.
1. https://www.cia.gov/library/publications/the-world-factbook/...