Here is the full list of all 33 Rally: Endless Conquest achievements.
Beat the game with Marcus on normal difficulty
Beat the game with Brunhilda on normal difficulty
Beat the game with Fainn on normal difficulty
Beat the game with Krag on normal difficulty
Beat the game with Marcus on hard difficulty
Beat the game with Brunhilda on hard difficulty
Beat the game with Fainn on hard difficulty
Beat the game with Kragg on hard difficulty
Beat the game with Erebus on normal difficulty
Beat the game with Erebus on hard difficulty
Deal 100+ damage in 1 turn
Deal 500+ damage in 1 turn
Deal 1,000+ damage in 1 turn
Gain 100+ defense in 1 turn
Gain 500+ defense in 1 turn
Gain 1,000+ defense in 1 turn
Gain 100+ wealth in 1 turn
Gain 500+ wealth in 1 turn
Gain 1,000+ wealth in 1 turn
Try endless mode
Reach round 5 of endless mode
Complete an endless mode run after round 10
Have a deck with 5 or more legendary cards
Have a card from each faction in your deck
Unlock every card