Most watches have an accuracy ratio of plus/minus 5 seconds per month, which comes to roughly 3 minutes per year. This ratio has been mostly unchanged since the 1970s.
Citizen has some watches that are accurate to plus/minus 15 seconds per year. This company,largest watchmaker in the world, also makes watches that don't use batteries. These substitute a tiny solar panel for the messy and, over the watches lifetime, costly batteries. While not the most accurate, they are still better than industry standards!
You might find better watches, you will find more expensive watches. For a large selection of ecologically friendly and cool lookin watches, click on the banner below: