Dairy, fish, organic, commercial and subsistence are example of different kinds of farms. Dairy and fish farms are considered pastoral farms, which are farms that primarily raise animals. Commercial farms exist to make money, while subsistence farms exist to sustain the farmers.
Some farms may be a mix of both arable and pastoral. For example, a dairy farm raises cows, but may also grow corn and other crops to feed the cows. Commercial farms are generally monoculture, meaning they produce one crop and are generally large scale with small numbers of laborers. Subsistence farms are generally small scale, labor intensive and produce and raise a variety of crops and animals.