My hands are chronically cold, especially at this time of the year. I find myself always holding my coffee mug with both hands, so the handle is just in the way. That is why I fell in love with this new item from Starbucks:
Look how warm and cozy that looks! It could almost be an accessory. As a bonus, the felt wrap is removable for easy washing, and sits in a groove on the mug so it won't slide off.
I also thought this piece from Shiny Shack was unique, as I love textures. Unfortunately, it is currently out of stock:
If you are more of a pattern lover, Pyrex Love has this option, which seems to only be available on eBay: