There is often one for forwards being in the top-6 among their teams forwards in average icetime. Defensemen may have one like this, too. If so I would guess it'd be top-4 among their team's defense icetime.
There is one for goals and points (not sure about assists) think they HAVE to be a certain number, but forget which number. I think 20 goals and 50 points. Not sure if this is different for defensemen than forwards.
Games Played as stated above by The Pucks. Believe this is also a set number. Maybe 60 games (for forwards/defense)?
All positions can have one for finishing in a certain position for calder voting as you noted. Also not sure if it is top-3 or top-5.
Goalies get one for games played, wins, shutouts, and save percentage, but I have no idea what the numbers are. I'm pretty sure that the save percentage one is kind of a joke now (like .890 or .900) with the league being much more defensive then it was when the CBA was made. All benchmarks for those stats are set in the CBA, so a team can't change what is the cutoff point.
That's all I can think of right now.