Here is the full list of all 13 ECON - there are Elemental Connection achievements.
Win a game without any misconnections
Finish any competition with no mistakes by either player
Clear all Challenges
Lose against a human opponent
Win against a human opponent
Clear 10 Challenges
Beat the Mindful AI
Beat the Thoughtful AI
Beat the Efficient AI
Beat the Simplistic AI
Beat the Normal AI
Beat the Creative AI
Gain 20 points in a single placement