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