What if the ISU publishes a list of "approved" musical pieces that can only be used that year? It can be a mix of the usual classical pieces, some jazz numbers, and popular songs from the last half-century. They pick and choose from there, and it would be first-come, first-serve, and they limit only two skaters or teams across all disciplines can use that for the year, so that there is less repetition. They can then bring in new music every year, and the "usual stuff" can take a season off at a time so we don't think "ugh not ANOTHER Swan Lake!"
Apart from possible objections, just to focus on the practical aspects...
How many total pieces of music would be in this pool? Precut, or would it be up to the skaters to cut the source material down to the correct length for their discipline (and short or long program)?
Would using completely different selections from the same ballet/opera/musical comedy/soundtrack/pop album count as using "the same music"?
Which skaters does this apply to? Only those who competed at a certain level of international event (ISU championships/Olympics/GP, or wider than that?) last year and so are considered likely to do so again and be televised this year?
All skaters who have ever entered a JGP or senior B event in the past or are planning to do so this year?
All skaters who have never competed internationally before in their wildest dreams have at least slim valid reason to believe that the longshot of getting sent to Junior Worlds might just come through?