What is the term used for a contract that gives rights to enter land for specific activities, such as hunting?

The correct term for a contract that grants rights to enter land for specific activities, such as hunting, is best described as a profit appurtenant. A profit appurtenant allows the holder to enter another's land to take something of value, like game or crops, which aligns perfectly with the activity mentioned in the question.

In contrast, an easement in gross generally provides the right to use land in a particular manner (like crossing it for access), but it does not grant the right to take resources from the land itself. A license to use typically refers to a temporary permission to use someone's land for a specific purpose without the transfer of any ownership rights and can often be revoked. A leasehold interest involves an agreement that grants exclusive possession of the property for a specified duration, which is different from merely entering the land for specific activities such as hunting.

Thus, a profit appurtenant is the most accurate choice as it directly pertains to the right to enter land to extract or harvest resources, thereby fitting the scenario described in the question.