https://www.change.org/p/richard-iii-excavate-the-remains-of-the-princes-in-the-tower-for-archaeological-examination
If it's confirmed to be them, they could be given a dignified burial. If they can verify it and get information on how they died, it would also give more indications as to whether Richard III was responsible, or if he was slandered by Henry VII, also a possible suspect. Apparently the king is more amenable to researching it than the Queen was, so if enough people sign perhaps something will finally come to light.