Alexandrite engagement rings? Absolutely! Diamonds may be a girl's best friend, but Alexandrite engagement rings are a unique, original, and a far more affordable choice. The birthstone of June, Alexandrite is an amazing and mysterious stone. A created alexandrite ring is a unique and entertaining attention getter. One of the oldest gemstones in history, garnet is the birthstone of January. Garnet rings have been popular since Victorian times, and are treasured for their deep red color.