I do think that the precedence Queen Mary set with regard to passing down immense amounts of jewelry is not going to be seen from Her Majesty because so many of those pieces were sold or broken up. However, I do think that personal pieces will make their way to Anne, Andrew, and Edward. Some pieces of personal jewelry that we will likely see passed down to HM's younger children would be:
1. engagement ring of HM
2. Engagement bracelet of HM
3. aquamarine twin brooches of HM
4. Flower basket (18th birthday gift one, not the one given to her when Charles was born)
5. various pearl necklaces
6. various brooches not given to her in a royal capacity
7. the sapphire flower clips
8. perhaps the sapphire necklace her father gave her with that sapphire tiara will be passed to Edward
9. Possibly the ruby tiara with the ruby necklace she acquired at auction in the 1960's
10. scroll tiara
11. Queen's fifth anniversary bracelet from Phillip with the interlocking "p's" and "e's"
Just to get started--
I do think that since Edward has a son, assuring the title will pass, that HM will leave some lovely jewelry to the Wessexes. As Andrew's title will likely revert back to the crown, we likely won't see any major pieces pass to him. Anne already has several family pieces (necklace of Queen Alexandra's, Princess Andrew's meander tiara, pine flower tiara that was an anniversary gift to the Queen Mother, etc...) so while I think some pieces will go to her, she already has several pieces and in all truth, none of her children will ever really have need of tiaras. I hope that the Greek key isn't broken apart one day.