Here is the full list of all 15 Incandescent achievements.
Complete 50 waves in one game.
Kill 1000 enemies without dying.
Complete 2 boss waves in one game.
Kill 1000 enemies in one game.
Complete the first boss wave.
Kill 500 enemies without dying.
Complete the 5 waves.
Kill 100 enemies in one game.
Kill 50 enemies without being damaged.
Kill 100 enemies without dying.
Complete the first wave.
Kill 10 enemies in one game
Kill 20 enemies without being damaged.
Kill 30 enemies with 1 bomb.
Kill 5 bosses in a single game.