Literally couldn't get beyond the "Play one game to unlock anything else other than the Play Now button" point because there weren't enough players to fill my first lobby of 15. Couldn't choose another lobby, couldn't do anything... Massive development oversight with locking the first game, especially considering I'm very familiar with Mafia enough that I don't need tutorial games.
EDIT: Got into my first game after 15 minutes, it started but glitched so I got stuck in the pre-game lobby. Closed and re-opened, got into my first game. Finished it, did my role, but didn't win for some reason. Then the game didn't count, so it still thinks I need to "Play my First Game." I've uninstalled. Broken app, it's no surprise to me that this game hasn't many new players.
EDIT 2: Got the game to work. You have to close and reopen it often, but it does get there. The game does lack players, but you can select other lobbies when they exist. That just isn't apparent when there's only one Public Game because it puts you into it and skips the "lobby selection" entirely. Confusing, but it works. Notifications when games start help with the long waits, too. Increasing the stars to 3, hoping the game gets better with time.