According to AGTA(American Gem Trade Association) these are the birthstones for every month of the year.
March: Aquamarine or Bloodstone.
May : Emerald.
June: Pearl, Moonstone or Alexandrite.
October: Opal or Tourmaline.
November: Topaz or Citrine.
December: Turquoise, Zircon or Tanzanite.
Box with Precious and Semiprecious gemstones that correspond to the Zodiac.