with the exception of

1. With due allowance for (a specified detail); not including; other than.

   Synonyms: apart from, save, except for; see also Thesaurus:except

exception can be completed with an adjective: with the possible exception of, with the notable exception of.

• “with the exception of” (US) / “with the exception of” (UK) in Macmillan English Dictionary.
• “with the exception of”, in Merriam-Webster Online Dictionary, Springfield, Mass.: Merriam-Webster, 1996–present.
• “with the exception of”, in Collins English Dictionary.