Well, there's not a huge amount to say about this really. Snake Deluxe is pretty much just another Snake clone, with the same crowded playing area where you have to eat pieces of food while avoiding obstacles.
There's a time limit within which you must eat the next piece of food, and an adventure mode, but neither of these brings anything hugely new to the game. The adventure mode simply consists of exactly the same gameplay as the normal game. There's a "boss level" every so often, but this is just a normal level where you occasionally see objects materialise in the middle of the playing field.