I'm going to do these, I assure you. It might take a while to do all of them, and some of them might be pretty low on information, but they'll be making a comeback in the next day or two in full force.
I figured it might be interesting to look at a simple list of all the first goals scored so far this year, which teams have the most, and the rate at which they occur. Perhaps I'm a bit naively surprised at the distribution of them so far... I figured they would slow down a bit, but that hasn't really happened.
Breakdown by nation: Canada - 35; USA - 18; Sweden - 7; Russia - 6; Switzerland - 2; Slovakia - 2; Norway - 1; Slovenia - 1.
Breakdown by month: October - 21; November - 16; December - 20; January - 14 (in 20 days).
The country breakdown reflects the reality of today's NHL: most of the rookies coming up are North American, with Swedes and Russians leading the European pack. That might surprise some people, but chances are if a Russian skater has been signed, he's close to playing at the NHL level. Five of the Russians spent some time in the AHL this year, with only Alex Burmistrov having stuck full-time at the NHL level. No Czechs have scored their first NHL goal, but their only hope is either for a goalie to score, or the sparingly used Red Wings defenseman Jakub Kindl. The Finns might have to wait for the call-up of a player like Oskar Osala or Ilari Filppula for this year.
The pace of goals definitely surprised me, but I suppose it makes sense. Most First NHL Goals are scored by AHL call-ups, as most 'rookies' that crack opening day rosters had an audition with the team the year before, and may have gotten their first NHL goal already. The Devils, who have had a lot of injuries in addition to being a terrible team, have been forced to use players without much NHL experience, so they lead the way along with the Oilers, who had a number of players on their roster that hadn't played a NHL game before.
The AHL is even more North American than the NHL is, so expect even a greater skew towards North American first time goal scorers as the season rolls on. Although it might be noteworthy that we could easily have two Norwegian first time goal scorers without any Finnish first timers, as Colorado blueliner Jonas Holos is currently awaiting his breakthrough goal. And although it may be a little to point out, good on tiny Slovenia for producing their second ever NHL player, Jan Mursak of the Detroit Red Wings.
EDIT: Added Andrew Gordon; did I miss anyone else?