Answer:
The social practice of nudism or going without clothing whenever practical (i.e. weather and activity permitting) is widely believed to be compatible with all religions. The only exception I am aware of is Middle Eastern religions holding that men should not gaze upon the body of a woman other than one to which they are married*.
A search on Google for keywords "Christian Nudists" (quoted as a phrase) returns 5,960 references as of today's date.
A search on Google for keywords "Jewish Nudists" (quoted as a phrase) returns 9,430 references as of today's date.
A search on Google for keywords "Muslim Nudists" (quoted as a phrase) returns 226 references as of today's date.
A search on Google for keywords "Pagan Nudists" (quoted as a phrase) returns 268 references as of today's date.
These search results illustrate the relative commonality of the term in comparison to various world-wide religions**.
Notes:
* - Needs citation to specific religious and/or cultural text.
** - See also the book, "A Brief History of Nakedness" by Philip Carr-Gomm