There's been a lot of competitive talk (understandably due to the Regionals, etc)... unfortunately, I only get time to play during the competitive season...
In all league games, Objective is RANDOM! Perhaps, 2nd players get to mulligan for a 2nd random objective?
Fantasy League:
Say 6 teams (you can have 8 when Wave 3) hits...
2 Round draft (one Admiral, one Title, one Officer)... snaking draft style. Once a unique is taken, it's off the board.
Veteran League:
Admiral - if you win, then he can't be used the next match. Hey, he/she was busy fighting elsewhere.
This will help handicap the winner from becoming too strong.
Titles/Uniques - you must use a generic officer or ship first... if it survives/kills something, then you can upgrade to a veteran (e.g., title/unique). If a title/unique gets killed, then you lose it!
Playoffs:
2-3 Games... no more upgrading to "veteran" status. Maybe 150pt/player (2v2) madness?
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Just spitballing ideas for more enjoyment of the game!