Here is the full list of all 37 Leave the Nest trophies - there are 24 bronze, 8 silver, 4 gold and 1 platinum.
You collected everything for Leave The Nest
Visit every zone
Fly through 50 windows
Unlock Olly the observant owl
Unlock Gully the seagull with no equal
Unlock Billy the bold bluejay
Fly for 10 minutes
Unlock Henry the hyper hummingbird
Fly through 15 zones
Unlock Sally swan the swift skimmer
Unlock Finny the finch who doesn't flinch
Fly through 10 zones
Unlock Manny the mallard with valor
Get a 50x multiplier
Fly with the train for 10 seconds
Unlock Elly the energetic eagle
Unlock Cardy the charismatic cardinal
Unlock Touky the tough toucan
Fly for 5 minutes
Dive for 2 seconds
Collect 100 coins
Fly through 5 zones
Unlock Corey the caw-caw-crazy crow
Fly through 25 windows
Fly through 10 windows
Get a 15x Multiplier
Unlock Philly the fastest falcon
Fly with the train for 5 seconds
Collect 50 coins
Get a 5x Multiplier
Fly for a minute
Collect 10 coins
Fly above the clouds for 8 seconds
Unlock Polly the pirate parrot
Fly above the clouds for 5 seconds
Fly above the clouds for 2 seconds
Touch the sky