Ken Morrow won gold with the US team in 1980 and the Stanley Cup with the Islanders the same year.
Also any member of the 2001-2002 Detroit Red Wings who were also members of the 2002 Canadian Olympic team (Brendan Shanahan and Steve Yzerman come to mind).
In 2010 three members of the Chicago Blackhawks and Team Canada were added to the list in Brent Seabrook, Duncan Keith and Jonathan Toews won both in the same calendar year.
Sidney Crosby and Marc-Andre Fleury, two members of the Pittsburgh Penguins won the Stanley Cup in June of 2009 and won the Olympic Gold Medal in February of 2010 with Team Canada. Technically this makes it winning both in a year since it was only a 8 month difference.
Sidney Crosby, Scott Niedmayer
Norte dame has more consecutive wins and overall championships in NCAA history.
Wilt Chamberlain
UCLA has won 11 NCAA mens championships. Tennessee has won 8 NCAA women's championships.
I think that the University of Michigan has the most NCAA championships
Minnesota Duluth Bulldogs have won 4; 2001, 2002, 2003, 2008.
40 national championships, 38 ncaa national championships
Louisville has won 2 mens ncaa championships.
UCLA with 11 championships.
Bemidji State University has 13 National Titles: 7 NAIA, 1 NCAA D-III, 5 NCAA D-II http://www.thebeaverpond.com/hockey_history.htm University of Michigan, with 9 NCAA Championships. From: http://www.ncaa.org/library/records/ice_hockey/m_ice_hockey_champs_records /2006/2006_d1_m_ice_hockey_champ_records.pdf
The University of Michigan in Ann Arbor has won 9 national championships in Div I men's ice hockey. That's the most of any Div I school.
Three NCAA championships, but KU also had two national titles back in the twenties, before NCAA.