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