White Topaz engagement rings? Absolutely! Diamonds may be a girl's best friend, but White Topaz engagement rings are a unique, original, and a far more affordable choice. A sparkling white topaz ring is just the thing if you like diamond jewelry but you're on a budget. We won't tell if you won't! 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.