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