Here is the full list of all 17 Yoko & Yuki: Dr. Rat's Revenge achievements worth 1,000 gamerscore.
Obtain the tangle
Obtain the paint
Complete world three
Obtain scissors
Complete world two
Complete world one
Stay idle for three minutes
Turn the world for 489 times
Turn the world for 200 times
Turn the world for 72 times
Obtain the gravitron
Jump for 400 times
Die for 111 times
Die for 60 times
Die for 30 times
Complete level one
Jump for 150 times