Here is the full list of all 36 Arrow a Row achievements.
Get over 50 dog buffs
Arrow damage reaches 200
Get over 5000 score
Have over 120 swords
Shoot over 30 arrows in a row
Get over 4000 score
Shoot over 15 arrows in a row
Have over 80 swords
Get over 8 red bow buffs
Get over 8 purple bow buffs
Get over 8 purple sword buffs
Arrow frequency reaches 80
Get over 3000 score
Get over 10000 health
Get over 27 dragon buffs
Killed by the boss blade
Get over 2000 score
Defeat the final boss
Arrow damage reaches 100
Get over 8 blue bow buffs
Get over 8 red sword buffs
Get over 8 blue sword buffs
Cumulative refresh awards for over 50 times
Own over 500 gold
Have over 40 swords
Purchase all store items
Arrow damage reaches 50
Get a level 3 dragon
Get over 1000 score
Choosing double enemy award
Defeat the first dragon boss
Get a level 3 dog
Arrow frequency reaches 40
Get a X6 starting award
First time dying
Defeat the first boss