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