Better term for clergyperson?

What's wrong with just "clergy". This is commonly used.

Also, what's the context? For example, if you need to be general because you don't know the particular title in the context of a specific ceremony or event (e.g. a wedding) the commonly used term is "officiant".

See if "spiritual leader" fits in.

• a leader in religious or sacred affairs
• man of the cloth

(TFD)

I believe the term you're looking for is cleric.

"Religious Leader" can typically be applied as a tag to any official leader of any group that calls itself a religion and has official leaders. It does seem a little more current and inclusive than "clergy", although either would typically be understood by any American consumers of your data.

Google search on this phrase turns up examples from Buddhism, Hinduism, Christianity, and Islam.