Here is the full list of all 38 Toki Tori 2+ achievements.
Find the rose
Find the dark room
Photograph a ghost
Discover the statue of Tokity
Get to the end of the obstacle course
Collect the wings
Collect all the collectibles
Fill all collectible deposits
Activate all landing beacons
Zap at least 6 types of creatures
Visit the beach
Transport all ancient frogs
Transport the lava ancient frog to the crystal room
Transport all ancient frogs without visiting the city
Take every picture in the TokiDex
Lavaaaaaargh!
Transport the upside down ancient frog to the crystal room
Make a Berrybug jump up in a bubble
Catch a frog in its own bubble
Make two raged porcupines collide with each other
Dance in the disco
Climb a pole
Crush at least 10 different types of creatures
Transport the invisible ancient frog to the crystal room
Transport the giant ancient frog to the crystal room
Get rid of all the birds in the tiny ancient frog level
Transport the tiny ancient frog to the crystal room
Escape a collapsing bridge
Get stuck in an infinite warp loop
Scoop up a jumping Berrybug with a Hermitcrab
Call the map bird but don't let it pick you up
Sing all melodies
View at least 7 of the island's main attractions from a bird's-eye view
Discover the crystal room
Launch the escape Bubblecraft
Let the bats kill all creatures in that one cave in the water mountain
Whistle SOS
Activate all gates