  We perform a full three-dimensional study on miscible-immiscible conditions
for coupled dipolar and non-dipolar Bose-Einstein condensates (BEC), confined
within anisotropic traps. Without loosing general miscibility aspects that can
occur for two-component mixtures, our main focus was on the atomic
erbium-dysprosium ($^{168}$Er-$^{164}$Dy) and dysprosium-dysprosium
($^{164}$Dy-$^{162}$Dy) mixtures. Our analysis for pure-dipolar BEC was limited
to coupled systems confined in pancake-type traps, after considering a study on
the stability regime of such systems. In case of non-dipolar systems with
repulsive contact intneeractions we are able to extend the miscibility analysis
to coupled systems with cigar-type symmetries. For a coupled condensate with
repulsive inter- and intra-species two-body interactions, confined by an
external harmonic trap, the transition from a miscible to an immiscible phase
is verified to be much softer than in the case the system is confined by a
symmetric hard-wall potential. Our results, presented by density plots, are
pointing out the main role of the trap symmetry and inter-species interaction
for the miscibility. A relevant parameter to measure the overlap between the
two densities was defined and found appropriate to quantify the miscibility of
a coupled system.
