While Shakespeare's plays are written in Early Modern English, which is different from modern English, there are no scenes where characters are speaking a language considered "archaic" by today's standards.
It's possible you're thinking of:
* Latin: Latin was a common language used by educated people in Shakespeare's time, and some characters in his plays might quote Latin phrases or proverbs. However, it's not a language spoken conversationally.
* French: While French was also spoken in England during Shakespeare's time, it's primarily associated with royalty and upper classes in Hamlet.
If you can provide more context about what you're remembering, I might be able to give you a more specific answer!