Here is the full list of all 33 Sunblaze achievements.
Completed The Lost Levels
Completed The Lost Levels with less than 10 deaths
Completed Chapter 6 Hard Mode
Completed Chapter 6 Hard Mode without dying
Collected all cubes in Chapter 6
Collected all cubes
Completed Chapter 6
Completed Chapter 6 without dying
Completed Chapter 5 Hard Mode
Completed Chapter 5 Hard Mode without dying
Collected all cubes in Chapter 5
Completed Chapter 5
Completed Chapter 5 without dying
Completed Chapter 4 Hard Mode
Completed Chapter 4 Hard Mode without dying
Completed chapter 4
Completed Chapter 4 without dying
Collected all cubes in Chapter 4
Completed Chapter 3 Hard Mode
Completed Chapter 3 Hard Mode without dying
Completed chapter 3
Completed Chapter 3 without dying
Collected all cubes in Chapter 3
Completed Chapter 2 Hard Mode
Completed Chapter 2 Hard Mode without dying
Collected all cubes in Chapter 2
Completed chapter 2
Completed Chapter 2 without dying
Completed Chapter 1 Hard Mode
Completed Chapter 1 Hard Mode without dying
Completed chapter 1
Completed Chapter 1 without dying
Collected all cubes in Chapter 1