Shakespearean Magic

I'm not well-read in Shakespeare but I'm interested in running a one-shot game that riffs off some of his fantasy & comedy works. I'm thinking of plays like A Midsummer Night's Dream, for example.

When I think about plays like that one, it seems that Shakespeare's magic falls into three broad categories.

Disguise - characters changing form into another human, or another creature, with enough difference to be unrecognisable to (most) others.

Emotional manipulation - characters falling in love with other characters at first sight, especially with others they explicitly don't like.

Minor weather manipulation - a fog, a rain shower, a wind.

But how accurate is that? What have you observed?