Here is the full list of all 16 Brawl of Ages achievements.
Play a Conquest Game
Play 10 Games
Reach 300 Medals
Reach Level 2
Play 5 Games
Win 5 Gammes
Reach 100 Medals
Reach Conquest Level 5
Win 15 Games
Reach 500 Medals
Win 3 Games in a single conquest
Reach Level 5
Reach Level 10
Reach Conquest Level 1
Reach Level 15
Reach Conquest Level 10