If I were to make this video for a 21st century audience I would cast Morgan Freeman to be Shakespeare. Not only does his commanding yet soothing voice capture the audience's attention, but he has a unique skill of storytelling that I love and would be perfect for this. I would set the scene with Morgan Freeman sitting on a stool in a dark room with a spotlight above his head. He stares at the camera and begins to recite the poem. As he begins to describe each of the seven stages of man, he moves into a different room on set where there are actor/s playing the part. So for example he would first walk into a hospital room with a nurse holding a baby and a mother lying in bed. Then a school, where a kid is doodling in his notebook and not paying attention to class. It would then end after he walks out of the last room with an old man, he walks into a graveyard, where a funeral service is taking place next to a tombstone, and that's where it ends.
Don't copy it but you can use it for inspiration :)