Here is the full list of all 37 Oddworld: Stranger's Wrath HD trophies - there are 23 bronze, 8 silver, 5 gold and 1 platinum.
Get all other Trophies.
Finish the game on Hard
Finish the game on Normal
Find the hidden entrance into the Wolvark Barracks
Have 20,000 Moolah when you take the barge to Doc’s Mongo Retreat.
Finish the game on Easy
Defeat Sekto.
Take out Sekto’s personal bodyguards.
Destroy the 10 hidden barrels.
Reach the Upper Dam.
Take out a Gloktigi.
Enter the Lower Dam.
Get to Last Legs.
Defeat the Wolvark attackers in the Native Village
Find a hidden bottle of medicine.
Take out D. Caste Raider
Bounty Fatty McBoomBoom
Bounty 250 Outlaws alive.
Collect 40 Moolah chests.
Bounty Elboze Freely
Bounty 250 Outlaws
Bounty Lefty Lugnutz
Collect 25 orange crystals.
Find the Black Market.
Bounty X’plosives McGee
Bounty Packrat Palooka
Bounty Meagly McGraw
Find the hidden Grubb Idol
Rescue Eugene Ius
Bounty Jo’ Mamma
Kill Farmer Beeks
Bounty Boilz Booty
Bounty Looten Duke
Bounty Filthy Hands Floyd
Leap the broken bridge!
Complete the tutorial
Bounty Blisterz Booty