There are various musical projects, which carry the name Essence or The Essence.
1) Celestial Aeon Project was known as project Essence for some time.
2) Hardcore band from Belgium
3) Metal/Noise/Hardcore band named Essence from Split, Croatia.
4) Austrian hardcore band
5) Danish Thrash Metal band
6) Alias of The Space Brothers, trance artist
7)Indian one man project by Siddharth Nair
8) Dutch New Wave band

Read more about Essence on Last.fm.