Here is the full list of all 13 Bad Rats: the Rats' Revenge achievements. It takes around 5-6 hours to unlock all of the achievements on Windows.
Completed two maps using one single object.
Solved ten maps
Solved five maps with less than one minute
Solved ten maps with less than one minute
Uou! Solved fifteen maps in less than one minute.
Solved twenty maps
Thirty maps solved
Forty maps solved
Completed all levels
Completed five maps using less objects than planned
Finished ten maps using less objects than the plan
OHH! Fifteen maps completed using less objects than planned
Finished 10 maps in the first try