Here is the full list of all 10 Mana Chess achievements.
Defeat your rival in a distant land.
Fill your items bar.
Fill your 7 Active slots.
Fill your 3 Passive slots.
Carry 250 gold.
Hit 3 or more enemies with a Spark Jar.
Hit 3 or more enemies with a Mana Bomb.
Hit two skeletons with a single Brightening Bolt.
Deal 4 damage with a basic attack.
Hit 3 or more enemies with a Longshot.