Here is the full list of all 13 Heroes of Scene achievements.
Win with full health of gates in game mode
You need to have 10 heroes in same time
Build the maximum number of buildings in a battle with the player
Get the increase any resource more than +10 sec in game mode
Complete training
Kill 10 enemies in game mode
Win a player for 30 seconds
Get two rare cards at same time
Win with less than 10% health of gate in game mode
Defeat your opponents with a rating higher than you more than 500 units
Use 100 spells in game mode
Summon 100 heroes in game mode
Exchange 1000 resource time or more