Luster is a characteristic of minerals that gives them a distinct appearance. which kind of luster gives minerals a shiny appearance?

Metallic lusture

Explanation:

All metals have shiny appearance which is a distinctive characteristic. Metals of all types have lot of free electrons that constitute moving negatively charged electron cloud beneath the surface layer.  

When light strike with the surface of metals, it get reflected as EM waves with in the visible region due to which normal surface looks shiny.

This luster in metals is termed as metallic luster