Doug Gilmour
Overall numbers in Best-on-Best tournaments: 8 gp, 2 g, 0 a, 2 pts
Knockout stage numbers in Best-on-Best tournaments: 4 gp, 2 g, 0 a, 2 pts
Knockout stage numbers broken down by tournament
Canada Cup 1987: 4 gp, 2 g, 0 a, 2 pts
Accolades: -
Peter Stastny
Overall numbers in Best-on-Best tournaments: 15 gp, 1 g, 6 a, 7 pts
Knockout stage numbers in Best-on-Best tournaments: 5 gp, 0 g, 1 a, 1 pts
Knockout stage numbers broken down by tournament
Canada Cup 1976: 2 gp, 0 g, 0 a, 0 pts
Canada Cup 1987: 3 gp, 0 g, 1 a, 1 pts
Accolades: -
Valeri Vasiliev
Overall numbers in Best-on-Best tournaments: 17 gp, 1 g, 6 a, 7 pts
Knockout stage numbers in Best-on-Best tournaments: 8 gp, 1 g, 3 a, 4 pts
Knockout stage numbers broken down by tournament
Summit Series 1972: 6 gp, 1 g, 2 a, 3 pts
Canada Cup 1981: 2 gp, 0 g, 1 a, 1 pts
Accolades: -
Serge Savard
Overall numbers in Best-on-Best tournaments: 12 gp, 0 g, 5 a, 5 pts
Knockout stage numbers in Best-on-Best tournaments: 7 gp, 0 g, 2 a, 2 pts
Knockout stage numbers broken down by tournament
Summit Series 1972: 5 gp, 0 g, 2 a, 2 pts
Canada Cup 1976: 2 gp, 0 g, 0 a, 0 pts
Accolades: -
Pavel Bure
Overall numbers in Best-on-Best tournaments: 12 gp, 11 g, 1 a, 12 pts
Knockout stage numbers in Best-on-Best tournaments: 6 gp, 7 g, 0 a, 7 pts
Knockout stage number broken down by tournament
Olympics 1998: 3 gp, 6 g, 0 a, 6 pts
Olympics 2002: 3 gp, 1 g, 0 a, 1 pts
Accolades: Olympic Best Forward 1998
Jiri Holecek
Overall numbers in Best-on-Best tournaments: 5 gp, 68 saves on 79 shots* 0.861 SV%
Knockout stage numbers in Best-on-Best tournaments: ?**
Accolades: -
* Holecek's overall numbers from the 1976 Canada Cup are taken from this page.
http://avlh.sweb.cz/CZ-sestavy.pdf
** Since I could not be completely sure of Holecek`s knockout stage numbers I decided to put a question mark instead of any estimated numbers. In Game 1 of the final series against Team Canada Holecek played the second and third period and according to the Canada Cup of Hockey Fact and Stat book he faced 20 shots and saved 18 of those. In Game 2 Holecek was pulled after having let in 2 goals in only 3 minutes and 9 seconds of play. I rewatched those first 3 minutes and outside of the 2 goals the only other shot that Holecek faced came from the neutral zone when Lafleur shot/dumped the puck in and Holecek steered the puck out in the corner. Depending on if they counted that as a shot on goal or not Holecek's knockout stage numbers would either be 18 saves on 22 shots for 0.818 SV% or 19 saves on 23 shots for 0.826 SV%
Serge Savard may not have put up any outstanding numbers offensively but his performance in the 1972 Summit Series has always impressed me and as tarheelhockey already has mentioned in this thread Team Canada's record in the 5 games that Savard played was excellent (4-0-1). In the 1976 Canada Cup Savard was part of the on paper strongest defensive line-up in history and I would say that he played his role well even if he did not stand out as much as he had done in 1972. All in all a strong Best-on-Best resume as well I would say.
Valeri Vasiliev also has a rather strong Best-on-Best tournaments resume. In the 1972 Summit Series he was one of the few Soviet players that had a positive plus-minus statistic and he also did produce some offense. Fair or not but his mistake on Henderson's last minute series winning goal does cloud away some of those positives for me though. In both the 1976 and 1981 Canada Cups I would say that he had rather strong but far from outstanding performances.
Considering what a productive player Peter Stastny was offensively I feel like his 7 points in 15 games are disappointing numbers. Especially considering that he only had 1 point in 5 games in the knockout stage. To be fair Stastny was quite young at the time of the 1976 Canada Cup as he turned 20 three days after the last game of the tournament. When taking that into account his 4 points in 7 games during that tournament does seem to be more or less what one realistically could expect from him. Stastny's subpar performance in the 1984 Canada Cup playing for Team Canada does in my opinion bring down his overall Best-on-Best resume though. As you can see in the video here below Stastny had been somewhat criticized throughout the camp for being a bit of a slow starter so it seems as if Stastny somewhat underperformed throughout both the training camp and the tournament where he ended up with 3 points in 8 games.
Doug Gilmour played in one Best-on-Best tournament (Canada Cup 1987) where he only scored 2 points in 8 games. To be fair Gilmour was used in a defensive role in that tournament and spent plenty of time on the penalty kill. It is perhaps also worth noting that Gilmour did score both of his points in the 3-game final series against the Soviets so at least he chipped in offensively in the games that mattered the most. Still it is clear that his Best-on-Best resume is less impressive than most of the other available players.
In the 1998 Olympics Pavel Bure was voted the Best Forward of the tournament and scored 9 goals in 6 games. That he went without a point in the two games against Hasek and the Czech Republic is in my opinion the only negative from Bure's performance in that tournament. Four years later he had a far less impressive tournament though with only 3 points in 6 games. Still I would say that Bure's overall Best-on-Best resume is impressive and more so than anything else his goalscoring numbers there.
Considering that Jiri Holecek came to the 1976 Canada Cup regarded by many as the best goaltender in Europe there is no doubt about that his performance there should be seen as a disappointment. Holecek was pulled in two of the four games that he started and his save percentage of 0.861 was the lowest among the goaltenders with a minimum of 120 minutes played during the tournament.