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