Some have done this in the draft recap thread but thought it would be interesting to see it league-wide, I haven't included undrafted players and there's always the chance I made a mistake.
Risers of more than 10 spots in the NHL draft. Montreal, Minnesota, Carolina, and the Rangers led the way with 4 players each:
Fallers of more than 30 spots, there was so many I made 30 the cutoff. Calgary had 5 players, with Toronto, Washington, Philly, Carolina, and Nashville coming in with 2 each.: