A metric space is called minimal if it admits a minimal (not necessarily invertible) map. The question of which metric spaces are minimal remains largely open and may be intractable in full generality. Numerous examples of specific minimal spaces are known – those admitting a minimal homeomorphism, a minimal noninvertible map, or both. However, only a few general results identify minimal spaces within broad and significant classes, establish obstructions to minimality, or provide methods for constructing new minimal spaces from known ones. In this lecture, we will discuss a selection of classical and recent results that we find particularly important or interesting, highlighting those we especially like or find appealing.