write a sentence using the grammar that those phrases use, and it won't be colloquially correct. obviously the phrases are themselves correct, but that's what i'm pointing out here
i'm going to store
i'm adding salt to burger
you should go to movie
not look
First of all, those phrases are not correct because you did not add 'the' before the object.
Correct ex: I am going to the store.
Incorrect ex: I am going to store.
Unless you are talking about storing something for the winter, in which case you should still be adding an object to be stored after 'store'.
From the OP:
Using 'add insult to injury', we could say "Doing this would be adding insult to injury". Then again, the verb would need modification in order to be put in a sentence like this one.