There are 25 Trophies that can be collected.

BRONZE

Where is Tim Timber?
Win the ITM Cup Competition

Super, Thanks For Asking
Win the Rugby 15 Competition

There's No Forfeiting This One
Win the Top 14 Competition

Working On My Quads
Win the Quad Nations Competition

Tall as Metcalfe
Win 60% of lineouts in a match that aren't thrown by your team

Thanks Team
Watch through the credits

Possessed
Maintain Over 60% possession in a match

No School Boy Difficulty Here
Get gold medals in every tutorial

This is My House
Maintain over 60% territory in a match

That's No Oil Painting, But OK
Create and save a custom player

Lack of Discipline
The ref calls one red card against you

SILVER

Played for Our Sins
Win a match with 2 players sent off

The Catt Memorial Service
Break through a full back with Jonah Lomu

Good Sport
Complete 25 online matches

Oh The Memories!
Score 4 consecutive tries with Jonah Lomu vs England

A Gentleman's Game
Do not concede more than 2 penalties in a single match

GOLD

Online Captain
Complete 50 online matches

Hardcore Fan
Complete Career Mode

Tribute
Unlock 'Team Lomu'

World Champ Domination
Win the World Championship Competition without losing or drawing a match

Bank of Toulon
Collect $100,000 Rugby Dollars

End-To-End
Make a try-scoring run which starts within your own in-goal area

Conversion Point Pro
Score a conversion on pro difficulty

Team Player
Win 10 matches, each as a different team

PLATINUM

Rugby Challenge Accepted
Get all Rugby Challenge Trophies

http://www.ps3trophies.com/forums/playstation-trophy-news/18458-rugby-challenge-playstation-vita-trophy-list.html