what are the most common minerals who has cleavage?
feldspar, micas (muscovite, biotite), quartz. Lots of em.
mica group of minerals such as muscovie, biotite, etc. felspar group of minerals orthoclase, palgioclase, microcline etc.
I'll go along with feldspar and mica, but quartz does not have a prominent cleavage; a conchoidal fracture is much more common. I would add calcite, dolomite, gypsum, pyroxene, and amphibole.
