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