While every game is "important" in its way, having the tournament name, club or similar easily viewed on the android app is something I've asked for before, I especially like the idea of been able to tag games with a colour or action code one selects,
And one more item, which I am missing on Android, is showing, what type of game it is ... if it is tournament, friendly or club game. In addition I would benefit from possibility to somehow highlight important games - ie with different background, so it can stop me and force me to spend more time and avoid doing some quick blunder.