  We generalize the recently proposed continuum dark matter model to the case
where the dark matter consists of a spin-$1/2$ or spin-$1$ gapped continuum. We
construct simple continuum analogs of weakly interacting massive particles
annihilating through the $Z$ portal. We discuss all existing experimental
constraints, with the strongest bounds arising from indirect detection and
limits on continuum decays from the cosmic microwave background. Our models are
phenomenologically viable for gap scales of $60$-$200$ GeV (spin-$1/2$) and
$35$-$90$ GeV (spin-$1$), owing to the strong kinematic suppression of direct
detection bounds which is unique to continuum states. We comment on future
prospects for detection and suggest directions for further continuum model
building.
