These are two of my favourite and also two very popular minor progressions:

Minor progression 1: (Sensitive female chord progression)

i      bVII     bVI    III

(In the key of Em this translates as Em  D   C   G)

Minor progression 2: (Andalusian cadence)

i     bVII   bVI      V

(In the key of Em this translates as Em  D   C   B)

The V in Andalusian cadence is anon diatonic chord, best way to think of that as a modal interchange, a borrowed chord from E harmonic minor.