Is it correct to say "He is forbidden wine" or "Wine is forbidden him"? Most often these would be expressed as "He is forbidden to drink wine" or "Wine is forbidden to him," but I occasionally see the former usage. Is this considered archaic, or is it still standard (though admittedly stilted)?
I have heard a similar phrase used in medical settings. He is forbidden food, but never 'food is forbidden him'. Among medical personnel, the term NPO (Nil per os, "nothing by mouth" in Latin) restricts anything oral. I have heard it used as a catch-all when a family's questions start being asked about a patient, like "can I bring him cookies?" He is forbidden food is the response that stops questions about a fruit basket, candy and anything else. The phrase may be stilted but I have heard it, just not in general conversation.
Is it correct to say "He is forbidden wine" or "Wine is forbidden him"?
Yes and no. Literally.
Yes, it is grammatically correct to say "He is forbidden wine", although the usage is somewhat uncommon.
"Wine is forbidden him" is just wrong, wrong, wrong. "Wine is forbidden to him" would be grammatically correct, although the passive voice is discouraged.
'Forbid' and 'permit' are verbs of prevention and permission respectively and they both figure in the list of causative verbs with the implications that they require an agent to bring about the desired result.
When we speak of direct and indirect objects ( both beings or things) in a transitive verb the action of the verbs on the objects are immediate. But in the causative verbs as above the intended result is through the agency of one object that these verbs prefer. These verbs demonstrate one action happening to another person or thing and are followed by a gerund when there is no presonal object otherwise they take infinitive.
These verbs can easily be used in the passive but treating them as verbs with two objects even in passive restricts the flow of the sentence.
In this sense - wine is forbidden him - does not sound fine. But make the sentence active, it is not that awkward. The reason is that these verbs gain in adjectivity on being made passive and require a preposition to mean the affected.