Generally speaking, it depends a lot more on the user than on the type of brand. Some people will train their brand as a weapon, others will see it as a tool for work, and the brand evolves with the person bearing it so even if it's used in fight, it might be used quite differently (think about Lusk and his regenerative abilities, compared to Rowen and his plants, same brand, different uses).
However, if we take these differences out of the picture, I'd say it would be something like: Arakar (war) > Argon (fire) > Lastra (shadow) > Tessil (air) Hurie (water) > Garanne (earth) > Elaria (light) > Mariuani (life). Of course it's more complex than that, because some brands are stronger or weaker against some others, but if we had to simplify it for the sake of ranking it would be more or less the rank of power.