None of these stories seem to actually have the items stolen. Most keep implying it was the three diamonds: Regent, Sancy, and Hortensia.
However, Sky News has an actual list. [1]
[1] https://news.sky.com/story/louvre-museum-in-paris-closed-aft...
Stolen and not retrieved
• Tiara from the set of Queen Marie-Amelie and Queen Hortense (img in article)[1]
• Necklace from the sapphire set of Queen Marie-Amelie and Queen Hortense (img in article)[1]
• Earring, from the pair belonging to the sapphire set of Queen Marie-Amelie and Queen Hortense (img in article)[1]
• Emerald necklace from the Empress Marie Louise set (img in article)[1]
• Pair of emerald earrings from the Empress Marie Louise set (img in article)[1]
• Brooch known as the "reliquary brooch" (img)[2]
• Tiara of Empress Eugenie (also referred to as a "diadem") (img)[3]
• Large corsage bow brooch of Empress Eugenie. (img in article)[1]
Stolen and found outside, broken • Crown of Napoleon III's wife, Empress Eugenie (img)[4]
[2] https://thefrenchjewelrypost.com/content/uploads/2016/09/san...[3] https://thefrenchjewelrypost.com/content/uploads/2016/09/san...
[4] https://thefrenchjewelrypost.com/content/uploads/2016/09/san...
EDIT: AP article appears to have been updated (at time of edit 8:25 PM GMT). Now lists items. Original comment was written ~7:00 PM GMT.