There are 50 Trophies that can be collected.

Bronze

Last Man Standing    
Complete any Danger Zone mission    

OK-3 Landing    
Make a successful landing on your first attempt in any mission    

Danger Close    
Complete a Danger Close objective without damaging any allies

Try, Try And Try Again    
Replay any campaign mission and improve your score    

Near Death Experience    
Complete any campaign mission without dying, after being below 25% health    

Splash One    
Get your first air-to-air combat kill    

Your Tax Dollars In Action    
Destroy 5 target drones    

Ace Pilot    
Destroy 5 aircraft    

Ace Of Aces    
Destroy 25 aircraft    

Air Supremacy    
Destroy 100 aircraft    

Last Of The Gunfighters    
Destroy 25 aircraft using only guns    

Good Tone    
Destroy 25 aircraft using missiles    

Hard Locked    
Destroy 25 aircraft in Hard Lock mode    

Got Your Six    
Score 10 "Got Your Six" bonuses for destroying a target in a hard lock.    

Got Your Frag    
Score 10 "Got Your Frag" bonuses whilst destroying a target in a hard lock.    

In Your Face    
Score 10 "Close Quarters" bonuses for destroying aircraft within 1000m    

Always The Bridesmaid    
Score 10 "Assist" bonuses for damaging an aircraft that an ally destroys    

Going Evasive    
Successfully evade a missile    

Tank Buster    
Destroy 25 armoured vehicles    

Bunker Buster    
Destroy 10 bunkers    

Old School    
Destroy 5 bombers by destroying their engines with guns    

Victory Roll    
Destroy an enemy aircraft with guns while barrel rolling    

I Feel The Need    
Buzz the tower in any mission

Team Work    
Win a co-op mission with at least one other player

Payback Time    
Score 10 "Payback" bonuses for destroying the last player who killed you

Silver

Ghostrider    
Complete all stealth sections in the game without being detected    

Commendation    
Get silver or gold stars on 10 campaign missions

The Need For Speed    
Buzz the tower in five different missions    

Give 'em Hell    
Fire every weapon in the game at least once    

Test Pilot    
Fly every aircraft in the game at least once

Instant Ace    
Get a Kill Streak of 5 in a Deathmatch or Team Deathmatch game

Gold

Perfect Record    
Get gold stars on all 15 campaign missions

Five Stars    
Reach Fleet Admiral rank

Platinum

The Pattern Is Full    
Collect all other trophies

16 Secret

Bronze

Shake Down    
Complete mission 01 – Welcome To The Gulf    

Fleet Defender    
Complete mission 04 – Alert Five    

Spreading Democracy    
Complete mission 06 – High Value Targets    

You Can Be My Wingman    
Complete mission 11 – Off Mission    

Freakin' Legend    
Complete mission 14 – The Big One    

You .. Are Still Dangerous    
Complete bonus mission – You Can Be Mine    

Maverick's Dead    
Defeat Maverick in mission 02 – Best Of The Best    

Top Gun    
Win the trophy in mission 12 – TOPGUN

Splash Damage    
Destroy 5 enemies with a single shot    

In The Weeds    
Spend more than 5 minutes flying within 200m of the ground    

Light The Fires    
Spend more than 5 minutes flying with afterburner activated    

Does The Rolling Help?    
Perform 100 barrel rolls    

Racking Up The Air Miles    
Fly a total of 20,000km

Silver

Dissimilar Air Combat Training    
Destroy a super-manoeuverable aircraft while flying an attack aircraft    

Slippery Customer    
Successfully evade 10 missiles in a row    

In The Zone    
Win 10 hard lock manoeuvres in a row

http://www.ps3trophies.org/game/top-gun-hard-lock/trophies/