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