  Anomalies of global symmetry provide powerful tool to constrain the dynamics
of quantum systems, such as anomaly matching in the renormalization group flow
and obstruction to symmetric mass generation. In this note we compute the
anomalies in 2+1d time-reversal symmetric gauge theories with massless fermions
in the fundamental and rank-two tensor representations, where the gauge groups
are $SU(N),SO(N),Sp(N),U(1)$. The fermion parity is part of the gauge group and
the theories are bosonic. The time-reversal symmetry satisfies $T^2=1$ or
$T^2={\cal M}$ where ${\cal M}$ is an internal magnetic symmetry.
  We show that some of the bosonic gauge theories have time-reversal anomaly
with $c_-\neq 0$ mod 8 that is absent in fermionic systems. The anomalies of
the gauge theories can be nontrivial even when the number of Majorana fermions
is a multiple of 16 and $\nu=0$.
