  We study generic properties of strongly interacting matter at finite density
as relevant to heavy-ion collisions at moderate beam energies or the physics of
neutron stars and their mergers. Because of the fermion-sign problem in lattice
QCD, here we simulate QCD-like theories without this problem at finite density.
These theories (two-color QCD, G2-QCD, or adjoint QCD) typically contain
bosonic baryons, for example diquarks, or other more exotic states of matter.
It is therefore important to understand the effects of such bosonic matter and
disentangle them from fermionic baryons where they exist to draw conclusions
for QCD. Simulations of these theories, for instance G2-QCD, reveal an
interesting and rich phase diagram at zero temperature. Many open questions
arise, partly due to the lack of high precision or large volume/continuum data.
This is the reason why we study two-dimensional QCD-like theories. In this
contribution we shall discuss differences between QCD-like theories at baryon
chemical and isospin chemical potential. Furthermore we present simulation
results on the phase diagram and spectroscopy at finite density for G2- and
two-color-QCD and compare it to free lattice fermions.
