Spock and Uhura being best friends is the best

• weekly harp playing
• gossiping in vulcan just to annoy the people around them (cough Jim cough)
• Spock threatening telling Scotty about ancient vulcan warrior tradition when Uhura finally starts dating him
  
• theorizing about alien cultures all the time (what nerds)
• vegetarian lunching, Uhura getting Scotty to properly program vulcan dishes
• Uhura giving Spock human courting lessons
  
• just being supportive of each other