"Friendly sparring between allies or acquaintances, to learn and improve or simply for the joy of fighting. Often to first blood, usually holding back considerably.
Unfriendly sparring between allies or acquaintances, with the objective of embarrassing or hurting someone you don't like and getting away with it. Basically bullying. It's... If you don't have backing and can't avoid it, too bad for you?
Competition fights of all sorts, either between allies or among strangers, these can often lead to bad injuries, though usually not permanent ones. Some disreputable fights like that are to death. The prizes tend to be grand- Thousands of spirit stones, admission into a select group or access to a secret method. The better kinds have sect elders place barriers on the participants- If the barrier breaks, it's assumed you would have died without it, but it protects you.
Beatdowns where one group who is obviously more powerful is avenging an insult or theft or similar, with the purpose of injuring and humiliating the 'opponent' and displaying power but not escalating to killing. Or taking things from them. Usually done as a matter of face or if one refuses a 'tax'.
Standoffs between two groups of comparable power, where one group is trying to intimidate or extort or drive away another, and they fight to demonstrate seriousness and strength, but without necessarily having lethal intent. Conserving resources.
Suppression, fights where a powerful and experienced group sets out to exterminate or drive away a minor threat that doesn't pose a serious challenge. Qi condensation versus mortal bandits, or foundation establishment against non-sapient spirit beasts.
Open war, fights with the express purpose to imprison or kill whatever you're against, burn and steal whatever you can. Anything goes, ambush, poison, using up pills and talismans or exhausting techniques."