Here is the full list of all 64 ROMBY achievements.
Destroy 150 blue figures
Get multiplier X5 in 5 rounds
Change the skin
Destroy 100 yelllow figures
Destroy 100 red figures
Destroy 100 green figures
Destroy 100 black figures
Destroy 100 purple figures
Destroy 100 blue figures
Unlock Valeria
Complete 15 tasks
Finish 5 rounds with 500+ points
Unlock June
Complete 10 tasks
Destroy 50 yelllow figures
Unlock Katy
Destroy 50 green figures
Destroy 50 blue figures
Destroy 50 black figures
Destroy 50 red figures
Complete 5 tasks
Destroy 50 purple figures
Destroy 25 red figures
Destroy 25 green figures
Unlock Alise
Destroy 25 black figures
Destroy 25 blue figures
Destroy 25 yelllow figures
Destroy 25 purple figures
Finish at least 1 round with 500+ points
Earn 1500 points during the round
Earn 1200 points during the round
Get multiplier X5 at least in 1 round
Earn 777 points during the round
Unlock Amanda
Earn 400 points during the round
Destroy 6 figures at once
Destroy 7 figures at once
Destroy 5 figures at once
Destroy 4 figures at once
Get multiplier X5 in 10 rounds
Get multiplier X5 in 15 rounds
Get multiplier X5 in 20 rounds
Get multiplier X5 in 25 rounds
Earn 2000 points during the round
Earn 3000 points during the round
Finish 10 rounds with 500+ points
Finish 15 rounds with 500+ points
Finish 25 rounds with 500+ points
Finish 30 rounds with 500+ points
Unlock Kristina
Unlock Candice
Unlock Tanya
Unlock Emma
Unlock Ann
Unlock all girls
Destroy 150 black figures
Destroy 150 green figures
Destroy 150 purple figures
Destroy 150 red figures
Destroy 150 yelllow figures
Complete 20 tasks
Complete 25 tasks
Complete 30 tasks