  We examine by extensive computer simulations the self-diffusion of
anisotropic star like particles in crowded two-dimensional solutions. We
investigate the implications of the area coverage fraction $\phi$ of the
crowders and the crowder-crowder adhesion properties on the regime of transient
anomalous diffusion. We systematically compute the mean squared displacement
(MSD) of the particles, their time averaged MSD, as well as the effective
diffusion coefficient. The diffusion appears ergodic in the limit of long
traces, such that the time averaged MSD converges towards the ensemble averaged
MSD and features a small residual amplitude spread of the time averaged MSD
from individual trajectories. At intermediate time scales we quantify the
anomalous diffusion in the system. Also, we show that the translational---but
not rotational---diffusivity of the particles $D$ is a non-monotonic function
of the attraction strength between them. Both diffusion coefficients decrease
as $D(\phi)\sim (1-\phi/\phi^*)^2$ with the area fraction $\phi$ occupied by
the crowders. Our results might be applicable to rationalising the experimental
observations of non-Brownian diffusion for a number of standard macromolecular
crowders used in vitro to mimic the cytoplasmic conditions of living cells.
