Here is the full list of all 13 Heroes of Scene achievements.
Complete training
You need to have 10 heroes in same time
Get the increase any resource more than +10 sec in game mode
Use 100 spells in game mode
Kill 10 enemies in game mode
Build the maximum number of buildings in a battle with the player
Summon 100 heroes in game mode
Win with full health of gates 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
Exchange 1000 resource time or more