The results are very different by market cap though. Half of the value on the list came from 2009 alone (Stripe and Airbnb). (Obviously it takes a while to become a unicorn.) Here's the sum of the unicorn market caps by year:
2005 1b
2006 (none)
2007 11
2008 5
2009 50
2010 2
2011 (none)
2012 10
2013 6
2014 16
2015 1
2016 1
2017 1