There are several alternatives to the term "personal relationship." One of the most common is "intimate relationship," which suggests a deep, emotional connection between two people. "Close relationship" has a similar connotation, emphasizing the bonds that exist between individuals. "Friendly relationship" is a more casual term, indicating a relationship that involves socializing and a pleasant rapport. "Interpersonal relationship" is a more formal term, indicating a professional or communication-based connection between individuals. "Affectionate relationship" suggests a warm, loving bond, often used to describe relationships between romantic partners or family members. Ultimately, the appropriate synonym for "personal relationship" depends on the context and the nature of the connection between individuals.