In the original game, Soren wears armor throughout the entire game. In the games files, there is an unarmored version of him that isn't seen in the actual game. The Minecraft Console and Bedrock editions have a skin pack based on the game, which includes both versions. The Netflix series uses Unarmored Soren for unknown reasons.
The first season gives you six options for Jesse's Appearance, three male and three female. Season Two adds six more, three each for male and female, for a total of twelve.
Some choices in the original game are gone from the Netflix version, such as choosing whether or not to get new armor after enchanting your weapon.
The beginning of the Netflix version of Episode 1 includes an exclusive intro with Petra telling you how to play. She also introduces you to the Male and Female Jesse's, so you can pick which one you want to play as.
The name "Order of the Stone" is a reference to the original Minecraft game, since creator Markus "Notch" Persson was originally going to call the game Minecraft: The Order of the Stone.