Any other ideas? Preferably ones that I can actually find the numbers for relatively easily.
As someone who majored in statistics in college (and I did a large presentation on the Moneyball ideas), I find this stuff fascinating and I hope you share your results when you've completed it.
Some other categories to spit-ball:
Age of team captain
Number of playoff appearances by team in last 10 years (playoff experience if you will)
Total career playoff games played by players on a team (might be a pain to compile data for)
How long the coach has been with the team
Number of goals/points by team's regular season leader
Number of games played by starting goalie during regular season (the Brodeur/Kipper argument of "wearing out" a goalie during the season)
1st round draft picks on the team (drafted by the team or otherwise, your choice)
Number of home-grown players on the team