The phrase 'rubs shoulders' can be replaced with a variety of synonyms depending on the intended meaning. 'Mingle with' implies socializing or interacting with others, while 'network with' suggests making professional connections. 'Fraternize with' has a more casual connotation, while 'associate with' is a more general term that could refer to either social or professional connections. 'Mix with' implies a more equal status among people, while 'hobnob with' suggests a mixing with people of high status. 'Intermingle with' implies a more diverse group of people. Lastly, 'rub elbows with' is another commonly used phrase to mean socializing, especially in a professional context.