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