My idea is to add something like replay section individually for each player, in his profile, where you could see, lets say 15 last games that player finished.
You could choose in settings menu whether you want everybody to see it, or make it hidden from others. It would also be useful if it showed which deck was used in the game.
Main purpose for this would be to record nice winning streaks, see which decks are better than others, and of course - to brag about how cool you are after winning 10+ games in a row