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