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