On the game list in the tournament page, once a tournament is completed, maybe the name of the winner could appear in front of the game type. Not only it is a "reward" for the winner to see his/her name there, but it would also help to know in a glance which ones are already over or which ones still have games pending.
If not the name of the winner, at least the number of completed/total games. That would help a lot when I'm browsing through tournaments to see what's finished or not... but I prefer the winner idea better ;)