"Statistics" screen, accessible from the main menu, has been intruduced with OpenArena 0.8.5. This tracks your awards obtained in Multiplayer games (Single Player Deathmatch and Skirmish modes are not counted), and only those against human players (those against bots are not counted). You can also find some info about the statistics in the OAX Wiki, here, under the name of Challenges (or Challenge system), since in the future the system may record "goals" like "Get 100 Excellent awards for bronze medal" (just an example), that have not been implemented yet.