  The dark matter interpretation for a recent observation of excessive electron
recoil events at the XENON1T detector seems challenging because its velocity is
not large enough to give rise to recoiling electrons of $\mathcal{O}({\rm
keV})$. Fast-moving or boosted dark matter scenarios are receiving attention as
a remedy for this issue, rendering the dark matter interpretation a possibility
to explain the anomaly. We investigate various scenarios where such dark matter
of spin 0 and 1/2 interacts with electrons via an exchange of vector,
pseudo-scalar, or scalar mediators. We find parameter values not only to
reproduce the excess but to be consistent with existing bounds. Our study
suggests that the scales of mass and coupling parameters preferred by the
excess can be mostly affected by the type of mediator, and that significantly
boosted dark matter can explain the excess depending on the mediator type and
its mass choice. The method proposed in this work is general, and hence readily
applicable to the interpretation of observed data in the dark matter direct
detection experiment.
