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