Here is the full list of all 36 Oddworld: Stranger's Wrath HD achievements.
Complete the Tutorial
Bounty Blizterz Booty
Take out Filthy Hands Floyd
Take out Looten Duke
Take out Boilz Booty
Rescue Eugene Ius
Take out Jo Mama
Take out Meagly McGraw
Take out Packrat Palooka
Take out Xplosives McGee
Take out Lefty Lugnutz
Take out Elboze Freely
Take out Fatty McBoomBoom
Take out D. Caste Raider
Take a boat from Bloody Bay and survive.
Enter the Dam Facility.
Take out Gloktigi.
Reach Sekto Springs.
Take out the two Gloktigi.
Defeat the corrupt Sekto.
Find the Black Market.
Find the hidden Grubb Idol
Find the hidden entrance into the Wolvark Barracks
Defeat the Wolvark attackers in the Native Village
Bounty 250 Outlaws
Bounty 250 Outlaws alive.
Leap the broken bridge!
Have 20,000 Moolah when you take the barge to Doc’s Mongo Retreat.
Find a hidden bottle of medicine.
Collect 25 orange crystals.
Collect 40 Moolah chests.
Destroy the 10 hidden barrels.
Finish the game on Normal
Finish the game on Hard
Kill Farmer Beeks
Finish the game on Easy