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