Here is the full list of all 35 RADical ROACH Remastered achievements.
Beat On Normal Mode
Beat On Hard Mode
Pop It's Mask
Hit The Mantis Baby
Kill 100 Fire Bugs
Spit On The Rock
Kill 1000 Mosquitoes
Find The Hidden Path
Kill 500 Mosquitoes
Kill 1000 Poppers
Kill 100 Mosquitoes
Beat The Game
Beat W4-Boss
Beat W4-L5
Beat W4-L4
Beat W4-L3
Beat W4-L2
Beat W4-L1
Beat W3-Boss
Beat W3-L5
Beat W3-L4
Beat W3-L3
Beat W3-L2
Beat W3-L1
Beat W2-Boss
Beat W2-L5
Beat W2-L4
Beat W2-L3
Beat W2-L2
Beat W2-L1
Beat W1-Boss
Beat W1-L5
Beat W1-L4
Beat W1-L3
Beat W1-L2