Here is the full list of all 13 Mahjong World Contest trophies - there are 9 bronze, 3 silver and 1 gold.
Complete level 1 with 3 stars
Achieve x5 index
Earn 100.000 points
Earn 30 stars
Complete the blooming lotus hall
Complete the golden crane hall
Complete the bamboo grove hall
Complete the red phoenix hall
Complete the sakura branch hall
Complete the azure dragon hall
Remove 1000 pairs of tiles
Use bonus 50 times
Complete 30 levels with the highest score