Remakes of Shakespeare have been going on since the 17th Century, there'll always be a "modern dress", or casting women in parts, or , how can I put this, "non-europeans" as principal characters, along with cutting dialogue and scenes. All for modern political relevance or to massage egos. Musical works are ego driven too, or reflect research on historical performance practices, or a blinding flash of interperative inspiration. Or because people like performing them!
Another factor with productions of Shakespeare and Handel is that the raw materiel is all OUT OF COPYRIGHT.
Films are slightly different. While remakes might be ego driven, politically adjusted for current sensibilities or situated in locations far away from their origins, the motivation is to preseve copyright in visual representation of characters and "story". Disney are masters at this.
The thing is, we don't have to watch the remakes!