Here is the full list of all 15 Flying Hamster HD trophies - there are 13 bronze, 1 silver and 1 gold.
Clear game in Hard Mode using 1 credit
Clear game in Normal Mode using 1 credit
Kill jetpack robot from stage 3 (Normal Mode)
Destroy secret passage from stage 2 (Normal Mode)
Destroy all columns in Stage 2 (Normal Mode)
Charge the berry weapon to the maximum by holding the primary attack button, then release the big berry on the wall to kill the group of six bats in Stage 2.
Kill jumping ram from stage 1 (Normal Mode)
Charge the berry weapon to the maximum by holding the primary attack button, then release the big berry to kill hen and all crows in Stage 1.
Finish any level using spit weapon only
Finish any level without firing (except for the boss) with 1 credit
Reach first position in the local Hi-score table
Clear game in Normal Mode
Score 1.000.000 points
Go through Stage 5-2 (Normal Mode) without losing any HP
Finish Stage 1 (Normal Mode)