Bronze

Warrior's Sword Point
300 people have been sliced down.

Big Victory
Obtain over 10,000 experience points during one battle.

Combo Profusion
Achieve a combo of over 100.

Rough Warrior
Win in survival mode.

Silver

Godspeed Honourable Solider
Clear a scenario in under 1 minute.

Paper Snow Storm
Unlock over 200 wall papers.

Mighty Warrior
1000 people have been sliced down.

Decorate Hero
Get 30 consecutive victories in survival mode.

Birth Of A Devil
Clear Orochi's story mode.

Japan's Strongest Warrior
Clear Shu's story mode.

Fierce Tiger's Counterattack
Clear Wu's story mode.

Triumphal Return Of The Cactus
Clear Wei's story mode.

Bond Of Virtue
Clear Shu's story mode.

Gold

Colourful Dance
Unlock over 400 wall papers.

Dandy's Troubled Times
Be able to use all of the costums.

Collector's Strange World
Obtain all of the commander's fourth weapon.

Pinnacle Of Martial Arts
Obtain all of the special skills.

Searcher Of Jewelry
Obtain all of the raw materials.

Fighter's Fortitude
Get 50 consecutive victories in survival mode.

Past And Present Musou Warrior
Clear all scenario on extreme hard difficulty.

Height Of Trinity
All of the military commander are playable.

Platinum

Truly unparallelled
Obtain all of the trophies.

Thanks to Zuler for editing it accordingly.

PS3trophies.co.uk the source.