  We prove that many seemingly simple theories have Borel complete reducts.
Specifically, if a countable theory has uncountably many complete 1-types, then
it has a Borel complete reduct. Similarly, if $Th(M)$ is not small, then
$M^{eq}$ has a Borel complete reduct, and if a theory $T$ is not
$\omega$-stable, then the elementary diagram of some countable model of $T$ has
a Borel complete reduct.
