Here is the full list of all 61 Curious Expedition trophies - there are 54 bronze, 5 silver, 1 gold and 1 platinum.
Reach World 2
Survive the tutorial
All trophies acquired
Blow up 50 mountains
Revive 10 trek members at altars
Stay inside a portal for 100 days
Sell items worth 100000 funds
Donate items worth 100000 fame
Eat 500 chocolate rations
Collect 50 butterflies
Collect 50 paintings
Collect 50 anthropological studies
Find the unholy blood crown
Find and dig up 10 treasures
Unlock 13 explorers
Finish at least third place with a secret explorer
True lovers don't eat their loved ones
I just want to make sure the cat is fine
Find an extraordinary friend
Return what belongs to an altar
Obtain a rare creature from the beast master
A chalice awaits beyond the face
There is something to find in every region
Seeing London from above
Finish at least third place without your standing ever dropping below zero
Have at least 3 members of your trek be alcoholics
Blow up an active volcano with dynamite
How many abominations can you handle?
Finish at least third place without selling anything
Finish at least third place using no sanity item other than coca leaves
Use your hot air balloon to escape an expedition
Finish at least third place and recruit nobody at the harbor or villages
Finish a full game in 3rd place
Finish a full game in 2nd place
Finish a full game in 1st place
Obtain 19 golden frames
Obtain 19 platinum frames
Find all items
Reach World 3
Reach World 4
Reach World 5
Reach World 6
Succeed in 100 expeditions.
Travel through 20 portals
Recruit 20 natives
Visit 5 different special regions
Recruit 20 dinosaurs
Complete 20 harbor quests
Hunt down and kill the legendary hyena
Headbutt a raptor
Flee 10 times from combat
Kill 100 hyenas
Defeat a slave trader and free the slaves
Kill 20 crocodiles
Kill 10 giant birds
Kill a giant crab
Kill 10 giant scorpions
Obtain 100 treasure items
Kill 20 giant spiders
Hatch 10 eggs
Kill 10 giant walruses