Here are some common minor 7th chord shapes. As with previous chord types, you should practice them as both chords and arpeggios and combine them with other chords to create your own progressions. Notice the use of the half bar (the 1st finger covering four strings) for the Fm7 and Gm7 chords.
Am7
Bm7
Cm7
Dm7
Em7
Em7
Gm7