  We analyse and compare the finite-temperature electroweak phase transition
properties of classically (non)conformal extensions of the Standard Model. In
the classically conformal scenarios the breaking of the electroweak symmetry is
generated radiatively. The models feature new scalars coupled conformally to
the Higgs sector as well as new fermions. We uncover the parameter space
leading to a first order phase transition with(out) the Veltman conditions. We
also discuss dark (matter) aspects of some of the models and compare with
existing literature when appropriate. We observe that to accommodate both, a
first order electroweak phase transition, and a phenomenologically viable dark
matter candidate requires to go beyond the simplest extensions of the Standard
Model. Furthermore these extensions must all feature new degrees of freedom
that are naturally lighter than a TeV and therefore the associated models are
testable at the upcoming Large Hadron Collider run two experiments.
