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