  By choosing an appropriate vielbein basis, we obtain a class of
spherically-symmetric solutions in $f(T)$ gravities. The solutions are
asymptotic to Minkowski spacetimes with leading falloffs the same as those of
the Schwarzschild black hole. In general, these solutions have branch-cut
singularities in the middle. For appropriately chosen $f(T)$ functions,
extremal black holes can also emerge. Furthermore, we obtain wormhole
configurations whose spatial section is analogous to an Ellis wormhole, but
$-g_{tt}$ runs from 0 to 1 as the proper radial coordinate runs from $-\infty$
to $+\infty$. Thus a signal sent from $-\infty$ to $+\infty$ through the
wormhole will be infinitely red-shifted. We call such a spacetime configuration
a dark wormhole. By introducing a bare cosmological constant $\Lambda_0$, we
construct smooth solitons that are asymptotic to local AdS with an effective
$\Lambda_{\rm eff}$. In the middle of bulk, the soliton metric behaves like the
AdS of bare $\Lambda_0$ in global coordinates. We also embed AdS planar and
Lifshitz black holes in $f(T)$ gravities. Finally we couple the Maxwell field
to the $f(T)$ theories and construct electrically-charged solutions.
