Hi Laura,
There is not an out of the box way to display events by year around your site with The Events Calendar. You could use the tribe_get_events function, which lets you pull custom event queries based on the parameters you specify (such as the year), but this does take some PHP knowledge to implement.
Using Events Calendar Pro, you could use the “date” parameter of the shortcodes to display events starting from the first of the year onwards, but this would include upcoming events as well. If this is something you’d like to see added in a future release, I’d recommend posting this as a feature request over in our Feature Ideas Forum. This is what we use to gauge user interest in new features and help guide future development efforts.
Please let me know if you have any questions!
Thanks,
Jennifer