Changes I would make: do away with shootouts and penalty shots. Shootouts are just crowd pumps and don't reflect the skill of the team, which is (thankfully) why they aren't done in the playoffs. Penalty shots are the same thing, one guy against the goalie. Just award a power play.
What infuriates me is when video shows a bad call by the refs, the call isn't reversed. The NFL reverses bad calls all the time, why not the NHL?
A strategy that puzzles me is pulling the goalie. Empty net goals are more common than goals scored by having the extra man. The exception would be if the leading team has a man in the penalty box, then a 6 on 4 makes sense.
I would like a Canadian team to win the Cup this year. Looks like it's up to the Habs, as of today...