'have you ever been to Paris" is more of a general question, where as "did you ever go to Paris" is a more direct question.
Like, "have you ever had a car?" Compared to "did you ever get a car?" Its a more direct question usually meaning you have some past information about the subject of the question, i.e. you previously talked about getting a car and your wanting the outcome of the situation. Where as, asking have you... is more indefinite, as you have no previous knowledge of the subject with that person.