Here is the full list of all 14 Sky Force Anniversary trophies - there are 11 bronze, 2 silver and 1 gold.
Collect all the cards
Earn 100 medals.
Complete Stage 8 without using power-ups.
Destroy at least 15 enemies with one Mega-Bomb.
Collect 100 000 stars.
Destroy 10 000 enemies.
Burn through 10 enemies with your Laser.
Destroy all enemy towers on Stage 5.
Ram through an enemy wave with your Energy Shield.
Finish a stage with your health lower than 5%.
Earn 10 medals.
Rescue 100 people.
Destroy 1 000 enemies.
Destroy the lighthouse without touching it.