Clinically I don't believe there is one. Most phobias you find on the internet are just done by combining prefixes with "-phobia", so that while literally it does mean the phobia of "insert here", clinically there may have never been cases of it.
Musicals in Ahoy' was created in 2002.
Goodspeed Musicals was created in 1963.
Essential Musicals was created in 2006.
Golden Age musicals are usually the Roger's and Hammerstein's and Lark and Lowe's musicals.
showboat Musicals are an American icon.
Social Phobia is the phobia of embarrassment. It is the phobia in which a person is scared of being bullied.
The irrational fear is called a phobia; the experience or object that triggers a phobia could be called a phobic experience or object.
musicalS are called musicalS because they have MUSIC in them making them MUSICAL
I looked it up and there is no phobia name for hail.
Chionophobia is the phobia of skiing/snow.
A full list of musicals that are based on plays is in related links.
To provide a more specific answer, please provide the titles of the musicals you are inquiring about.