An illustrative multi-access server orchestration system obtains, by way of a communication network, a service request for a client device. The service request indicates a client identity of the client device and represents a request for orchestration of service to be provided to the client device by a multi-access server of a set of multi-access servers associated with the communication network. In response to the service request and based on the client identity, the orchestration system identifies a network anchor point through which network traffic on the communication network is routed to the client device. The orchestration system also determines a subset of the set of multi-access servers. The subset may correspond to a service area of the identified network anchor point and may include one or more multi-access servers capable of fulfilling the service request for the client device. Corresponding methods and systems are also disclosed.