I was a child in the 50s.
I must have gone hundreds of times to the movies alone by the end of the 50s.
I do not remember asking permission a single time to go to the movies, or to leave the house in general.
I just left. If I was ever asked where I'd be going, I said: Out.
My father was probably only happy I left, coz he was a nervous ISTJ who loved his peace and quiet.
He did not mind weirdos, though
Now you have two new experiences to look forward to in life .. one day you will be free to go to the movies alone. Think of that.
Then dispell the truth to your parents.
See their expression change!
Their own grown child! What a weirdo!