Here is the full list of all 20 Dead Mans Draw achievements.
Use a Cannon to discard a lone 7 if any suit
Unlock all the card abilities
Use a Sword to steal a Cannon
Use a Map to complete a Key/Chest combination
Play 3 cards in a row without drawing from the deck
Use the Key/Chest combo to double 7 or more cards
Take the lead on the last turn of a game
Collect 9 cards from the river in a single turn
Increase your score by 40 points in a single turn
Win 5 games in a row
Win 10 games in a row
Win 100 games
End a game with the highest card in every suit
Win by more than 35 points in a standard rule game
Play 50 games with a Trait enabled
Get at least 1 star on all tournaments
Get a 3-star rating on a tournament
Get a 3-star rating on 10 tournaments
Get a 3-star rating on 50 tournaments
Reach Level 34