There isn't one single, universally accepted alternative name for the reproductive system. However, depending on the context, you could use some of these terms:

* Genital system: This term is commonly used to refer to the external reproductive organs.

* Sexual reproductive system: This term emphasizes the function of the system.

* Reproductive organs: This is a more general term that encompasses all the organs involved in reproduction.

* Reproductive tract: This term is often used in medical contexts and refers to the internal organs involved in reproduction.

The best term to use depends on the specific situation and the intended audience.