Just using 2007 as a start point, I looked for players with less than 60 games drafted in the top-15.
2007 - Zach Hamill (#8)
2008 - Nikita Filatov (#6), Kyle Beach (#11) and Colten Teubert (#13)
2009 - Scott Glennie (#8)
2010 - Dylan McIlrath (#10), Jack Campbell (#11), Brandon Gormley (#13)
2011 - Duncan Siemens (#11)
2012 - Griffin Reinhart (#4), Slater Koekkoek (#10)
2013 - Samuel Morin (#11), Ryan Pulock (#15)
2014 - Michael Dal Colle (#5), Julius Honka (#14)
I suppose we could look at 2015-2017, but it isn't really fair since most drafted would have still been in the junior leagues. However, for the sake of this discussion, since we are picking #3, here are top-3 draft picks who have yet to contribute regularly to their teams:
2015 - Dylan Strome (#3)
2016 - Everyone is a starter.
2017 - Miro Heiskanen, but he is only 18 now and he was just drafted.
So, keeping with 2007 to 2014, we could say there were 15 who couldn't make it to the show. During this period, all players drafted in the top-3 made it.
This of course means nothing for 2018, but it's statistically improbable all 15 this year will be NHLers. On the plus side, we are not picking #11... that came up 4 times in a seven year span.