I have two rings that I wear all the time (except during heavy manual work, when I thread them on a chain for safety - of my fingers, rather than of the rings).
I have a titanium/platinum/diamond wedding band that my wife bought me, and on the opposite hand I have a simiar (but not matching) titanium/platinum band that she gave me when I gave her an engagement ring.
For the record, I proposed to her.
She was so excited that she jumped out of bed!