There are 51 trophies that can be collected.

Bronze

Fireworks at the Party
Complete the Athens chapter on Recruit to Agent difficulty

Turkish Delight
Complete the Istanbul chapter on Recruit to Agent difficulty

Pay Out
Complete the Monaco chapter on Recruit to Agent difficulty

Ice Cold
Complete the Siberia chapter on Recruit to Agent difficulty

Down But Not Out
Complete the Bangkok chapter on Recruit to Agent difficulty

Dam Fine Shot
Complete the Burma chapter on Recruit to Agent difficulty

Queensbury Rules
Perform 150 takedowns

Free Fall
Throw 5 people off balconies

Sharp Instrument
Perform a Focus Aim kill shortly after a takedown

Focused Killer
Perform 80 Focus Aim kills

Blind Fury
Eliminate 100 enemies using blind fire from cover

Drag Off
Perform 20 reach over cover takedowns

Three Birds, One Blood Stone
Perform a chain of 3 Focus Aim kills

Silent Running
Perform 40 stealth takedowns

1984
Disable 3 security cameras using Bond's Smartphone

00 Status
Complete last tutorial section

Speed Run
Finish the Istanbul driving chase in under 2 min and 59.4 secs

Pedal to the Metal
Finish Refinery driving escape with full throttle and no brakes

Professional Killer
Finish a level using the pistol as the only gun

No Valet Required
Destroy all the cars in the Yacht Club car park in Athens

Going Down!
Destroy the elevator bringing reinforcements in the Istanbul tunnels

Sneaky Gardener
Get through the Monaco casino gardens without being spotted

Air Defense
Shoot down all the missiles fired by the S.A.V.

Shocking
In Bangkok use the stun gun on 5 enemies

Shooting Range
Eliminate all enemies during the funicular lift sequence

No Claims Bonus
Drive to the bridge in the epilogue level without hitting any other vehicles

Master at Arms
Kill with all the available weapons

Full Recon
Collect all the intelligence items in a level using Bond's Smartphone

Victor
Be on the winning team in an online ranked match

Special Commendation
Achieve an End Game Award in an online ranked match

Nobody Does It Better
Win an online ranked match without being killed

Field Operative
Obtain a level 1 Game Medal in online ranked multiplayer

Weapon Initiate
Obtain a level 1 Weapon Medal in online ranked multiplayer

Case Officer
Obtain a level 8 Game Medal in online ranked multiplayer

Weapon Specialist
Obtain a level 8 Weapon Medal in online ranked multiplayer

Virtuoso
Obtain all Game Medals in online ranked multiplayer

Weapon Master
Obtain all Weapon Medals in online ranked multiplayer

Silver

A Bridge Too Far
Finish the game on Recruit to Agent difficulty

Olympic Gold
Complete Athens chapter on 007 Difficulty

Grand Bizarre
Complete Istanbul chapter on 007 Difficulty

I Broke the Bank
Complete Monaco chapter on 007 Difficulty

Best Served Cold
Complete Siberia chapter on 007 Difficulty

Mai Thai
Complete Bangkok chapter on 007 Difficulty

Law of the Jungle
Complete Burma chapter on 007 Difficulty

Melee Master
Perform 3 takedowns in 10 seconds

Full Debrief
Collect all the intelligence items using Bond's Smartphone

Blood Stone Elite
Obtain the '00 Agent Mission' medal in online ranked multiplayer

Gold

Blood from a Stone
Finish game on 007 Difficulty

Platinum

Platinum Bond
Obtain all bronze, silver, and gold trophies

2 Secret

http://www.ps3trophies.com/forums/trophy-news/46279-james-bond-007-blood-stone-trophy-list.html