A recent study in Spain aimed to find out an association between men’s attractiveness (rated by independent male and female viewers) vs masculinity to determine if it had an impact on the quality of the sperm. The study published in Evolutionary Biology found that men with high testosterone based features (jaw and cheekbone width, etc) had lower quality sperm. Men with more attractive features had better sperm. However, this study was severely limited by the number of participants (only 50 males).
Some sperm banks are selling possible candidates based on celebrity resemblences. resemblance.