There are 36 Trophies that can be collected.

PLATINUM

First Edition
Display the virtues required to master the 'Book of Spells'

35 SECRET

BRONZE

Swish and Flick
Successfully cast the Levitation Charm

Aguamenti!
Successfully cast the Water-Making Spell

Alohomora!
Successfully cast the Unlocking Charm

Lumos!
Successfully cast the Wand-Lighting Charm

Incendio!
Successfully cast the Fire-Making Spell

Feathered friends
Successfully cast the Bird-Conjuring Charm

Aparecium!
Successfully cast the Revealing Charm

Extra pumpkin pie
Successfully cast the Engorgement Charm and Shrinking Charm

Defodio!
Successfully cast the Gouging Spell

No need for Spellotape
Successfully cast the Mending Spell

Practical Household Magic
Successfully cast the Scouring Charm

Protego!
Successfully cast the Shield Charm

Accio!
Successfully cast the Summoning Charm!

Diffindo!
Successfully cast the Severing Charm

Impendimenta!
Successfully cast the Impediment Jinx

Hard knocks
Successfully cast the Hardening Charm

Expelliarmus!
Successfully cast the Disarming Charm

Reducto!
Successfully cast the Reductor Curse

Stupefy!
Successfully cast the Stunning Spell

Expecto Patronum!
Successfully cast the Patronus Charm

SILVER

Budding Herbologist
Re-pot the Mandrakes in the Levitation Charm practice

Light relief
Fend off the Devil's Snare in the Wand -Lighting Charm practice

Fight fire with fire
Defeat the dragon in the Fire-Making Spell practice

Pick on someone your own size
Help the Knarls teach the Gnomes a lesson in the Engorgement Charm and Shrinking Charm practice

Buried Treasure
Find some treasure buried by the Nifflers in the Gouging Spell practice

Checkmate
Summon the wizard chess pieces in the Summoning Charm practice

Stop right there!
Stop the Gnome in the Impediment Jinx practice

On Solid Ground
Foil the Nifflers in the Hardening Charm practice

Duellist
Defeat the wizards using the duelling spells in the practices for Shield Charm and Disarming Charm

True Patronus
Make your Patronus appear in the safety of the classroom

GOLD

Teach us something please
Pass Chapter 1 test and prove you know the first set of wizard values

If you've a ready mind
Pass Chapter 2 test and prove you know the second set of wizard values

Unafraid of toil
Pass Chapter 3 test and prove you know the third set of wizard values

By any means…
Pass Chapter 4 tests and prove you know the fourth set of wizard values

Pure nerve
Pass Chapter 5 test and prove you know the final set of wizard values

http://www.ps3trophies.com/forums/playstation-trophy-news/25120-wonderbook-book-spells-trophy-list.html