Complete the following tasks to unlock Vita trophy rewards.

Trophy	How to unlock
A Blank Card (Bronze)	Kill Isaac with Eden.
A Fetus In A Jar (Bronze)	Kill Mom's Heart 9 times.
A Quarter (Bronze)	Kill Mom's Heart 8 times.
Azazel (Bronze)	Make 3 deals with the devil in one run.
Basement Boy (Bronze)	Beat the Basement/Cellar without taking damage.
Blood Rights (Bronze)	Kill Satan with Samson.
Bloody Lust (Bronze)	Kill Isaac with Samson.
Blue Baby (Bronze)	Kill Mom's Heart 10 times.
Boss Rush (Silver)	Beat the Boss Rush.
Broken Ankh (Bronze)	Kill Satan with Lazarus.
Cain (Bronze)	Hold 55 or more pennies at one time.
Challenges (Bronze)	Beat all 20 Challenges.
Daemon's Tail (Bronze)	Kill Satan with Azazel.
Dark Boy (Bronze)	Beat the Depths/Necropolis without taking damage.
Dark Room (Bronze)	Beat the Dark Room.
Dead Boy (Bronze)	Beat the Chest or Dark Room without taking damage.
Eden (Bronze)	Beat the Womb for the first time.
Eve (Bronze)	Beat 2 levels in a row without picking up any hearts.
Eve's Bird Foot (Bronze)	Kill Isaac with Eve.
Everything Is Terrible (Bronze)	Kill Mom's Heart 5 times.
Forget Me Now (Bronze)	Kill Satan with ...
Golden God (Silver)	You are the best!
Guardian Angel (Bronze)	Kill Satan with Maggy.
Isaac's Heart (Bronze)	Kill Isaac with The Lost.
Isaac's Tears (Bronze)	Kill Isaac with Isaac.
It Lives (Bronze)	Kill Mom's Heart 11 times.
Judas (Bronze)	Kill Satan.
Judas' Tongue (Bronze)	Kill Satan with Judas.
Lazarus (Bronze)	Have 4 or more soul hearts at one time.
Lazarus' Rags (Bronze)	Kill Isaac with Lazarus.
Little Baggy (Bronze)	Collect 2 of either Roid Rage, The Virus, Growth Hormones, Experimental Treatment, or Speed Ball.
Lost Poster (Bronze)	Beat the Dark Room with Isaac.
Magdalene (Bronze)	Have 7 or more max red hearts at one time.
Mama's Boy (Bronze)	Beat the Womb/Utero without taking damage.
Mom's Knife (Bronze)	Kill Satan with Isaac.
Platinum (Platinum)	Obtain all trophies.
Platinum God (Gold)	Collect all items and unlock all secrets and endings.
Real Platinum God (Gold)	100% the game.
Samson (Bronze)	Beat 2 levels in a row without taking damage.
Something Cute (Bronze)	Beat the Caves 30 times.
Something from the future (Bronze)	Beat the Basement 40 times.
Something sticky (Bronze)	Beat the Depths 20 times.
Spelunker Boy (Bronze)	Beat the Caves/Catacombs without taking damage.
The Bomb Bag (Bronze)	Kill Satan with Cain.
The Book Of Secrets (Bronze)	Kill Satan with Eden.
The Book Of Sin (Bronze)	Kill all 7 sins.
The Chest (Bronze)	Beat the Chest.
The Coin Bag (Bronze)	Kill Isaac with Cain.
The Guillotine (Bronze)	Kill Isaac with Judas.
The Halo (Bronze)	Kill Mom using the Bible.
The Lost (Bronze)	Finish the game's final secret.
The Mind (Bronze)	Kill Satan with The Lost.
The Negative (Bronze)	Beat Sheol 5 times.
The Polaroid (Bronze)	Beat Cathedral 5 times.
The Razor (Bronze)	Kill Satan with Eve.
The Relic (Bronze)	Kill Isaac with Maggy.
The Satanic Bible (Bronze)	Kill Isaac with Azazel.
The Womb (Bronze)	Kill Mom.
Transcendence (Bronze)	Kill Mom's Heart 3 times.