Here is the full list of all 51 Captain America: Super Soldier trophies - there are 42 bronze, 5 silver, 3 gold and 1 platinum.
Complete all Trophies
All AA cannons destroyed
100% Golds awarded in Challenge Mode
All Challenge Modes completed
50% Golds awarded in Challenge Mode
101 advanced enemies defeated
All 12 Sewer entrances used
All Zola Reels collected
25000 Intel Points collected
Completed 18th Chapter: Went the Day Well?
Viewed the Credits to completion
Completed 17th Chapter: The First of the Few
Completed 16th Chapter: Church On Time
3 mortar strikes successfully directed
All Zemo Diaries collected
All Challenge Modes unlocked
Completed 15th Chapter: When Trumpets Fade
All Enemy Schematics collected
50 Ceramic Eggs collected
Completed 14th Chapter: Hell is for Heroes
Completed 13th Chapter: The Small Back Room
Completed 12th Chapter: Red Ball Express
Completed 11th Chapter: They Were Expendable
Caused 500 objects to explode
Completed 10th Chapter: Keep Your Powder Dry
50 Statues destroyed
Completed 9th Chapter: The Longest Yard
10 Enemies defeated with a weaponized enemy
Performed 50 Crippling Strikes
Completed 8th Chapter: To Have and Have Not
Completed 7th Chapter: Icarus and Daedalus
13 Enigma Keypads decrypted
Completed 6th Chapter: Camus and the Fly
5 HQ Radios located and used
Completed 5th Chapter: The Big Red One
5 successful C3 placements
Completed 4th Chapter: Secret Journey
101 Grunts defeated
Completed 3rd Chapter: The Wooden Horse
Achieved perfect timing x 5 while platforming
1st Gold awarded in a Challenge Mode
1 Challenge Mode completed
25 Snipers defeated
4 Enemies KO'd with a single Focused Shield Throw
1776 Intel Points collected
Completed 2nd Chapter: The Flemish Farm
1st Enemy Schematic collected
Found a Zola Reel
Completed 1st Chapter: Stand Alone Together
1st Zemo Diary collected
Completed Prologue: Come and See