Here is the full list of all 15 RED HOT VENGEANCE achievements.
Beat new game plus
Complete all challenges
Kill 1000 enemies
Beat the normal campaign
Kill yourself with the truck
Die 100 times
Kill 100 enemies
Die 1000 times
Collect all secrets
Get all medals on the normal campaign
Get all medals on new game plus
Get No Mercy, No Death, and Speedrun in a single run on any level
100% the game
Unleash the beast
Die on the tutorial