Hmmm... well I do. Sometimes when I feel I need a bit of "sense of security" or "safety" (? - hard to describe), I wear the Sikh kara, an attractive iron wrist-let, initiated Sikhs wear it but also worn by even non-Sikh Indians so there is no strict rule about this. I first took to the idea when asking about the wrist-let worn by a very close male Hindu Panjabi friend who, though a Hindu, would also wear on occasion with the same idea. I purchased mine at a Gurudwara.
Other items worn, include often certain rings based astrology or "cures" and such. I have my "stone" such as Yellow Sapphire, and Moon Stone. Or I wear jewelry such as a Ganesha coin. Or I may carry a "temple token coin" in my pocket - though this is not really jewelry but is nice coins (all old, collectibles, often more than 100 years old, typically Hanuman coin).
I have varous rings, such as American Indian, that could be considered "charms", not really religious. I also sometimes wear small "lucky charms" such as a bell, a clover symbol on charm, or a small horseshoe charm, actually all pretty much "traditional" charms. But that is more magic than religion. I also may wear magic rings I get from those "Majik" or "Dragon" or "Tarot" type shops or from magicals.