Can a person on H-1B or H-4 visa be on the Board committee (Vice President) for the US based non-profit religious organization without pay (volunteer) ? Would it create any issue on visa stamping or GC process?
You can work if the company is non-profit. There is no issue as long as you do not get paid in any way. If it is a for-profit company you could have a problem unless they tailor make the program according to the principles of labor laws.