* ἀνόσιος (anósios): This is probably the closest single word. It means "impious," "ungodly," or "profane," all of which are close to "unholy."
* βέβηλος (bébelos): This means "profane," "unconsecrated," or "unhallowed." It emphasizes the lack of sacredness.
* ἀκάθαρτος (akáthartus): This means "unclean," "impure," or "defiled." This would be appropriate if the "unholiness" is linked to ritual impurity.
The best choice will depend on the specific situation and what aspect of "unholiness" you wish to emphasize.