  Using worm-type quantum Monte Carlo simulations, we investigate bosonic
mixtures on the triangular lattice of two species of bosons, which interact via
nearest-neighbour intraspecies ($V$) and onsite interspecies ($U$) repulsions.
For the case of symmetric hopping amplitude ($t_A/V=t_B/V$) and $U/V=1$, we
determine a rich ground-state phase diagram that contains double solid, double
superfluid (2SF), supersolid (SS), solid-superfluid (Solid-SF) and counterflow
supersolid (CSS) states. The SS, Solid-SF and CSS states exhibit spontaneous
symmetry breaking among the three sublattices of the triangular lattice and
between the two species, which leads to nonzero crystalline density wave order
in each species. We furthermore show that the CSS and the SS states are present
for $t_A/V \neq t_B/V$, and the latter even survives up to $t_A/V \rightarrow
\infty$ or $t_B/V \rightarrow \infty$ limit. The effects induced by the
variation of $U/V$ and by the imbalance of particle numbers of the two species
are also explored.
