  Minimal Dark Matter (MDM) is a theoretical framework highly appreciated for
its minimality and yet its predictivity. Of the two only viable candidates
singled out in the original analysis, the scalar eptaplet has been found to
decay too quickly to be around today, while the fermionic quintuplet is now
being probed by indirect Dark Matter (DM) searches. It is therefore timely to
critically review the MDM paradigm, possibly pointing out generalizations of
this framework. We propose and explore two distinct directions. One is to
abandon the assumption of DM electric neutrality in favor of absolutely stable,
millicharged DM candidates which are part of $SU(2)_{\text{L}}$ multiplets with
integer isospin. Another possibility is to lower the cutoff of the model, which
was originally fixed at the Planck scale, to allow for DM decays. We find new
viable MDM candidates and study their phenomenology in detail.
