When you have an event and click on the Recurrence tab to change it to an annual event, it defaults to today's date instead of the actual event date. So if you try to make the 4th of July an annual event, when you click the tab to make it annual, it defaults to 8/17/2016.
Not sure why there's even a place to enter a new, annual date. It should just use the date of the event from the 1st tab.
Also, if you don't manually change the date on the 2nd tab to match the date on the 1st tab, the event won't show up this year, only next year.