  $\operatorname{SL}(2,q)$-unitals are unitals of order $q$ admitting a regular
action of $\operatorname{SL}(2,q)$ on the complement of some block. We
introduce three non-classical affine $\operatorname{SL}(2,8)$-unitals and their
full automorphism groups. Each of those three affine unitals can be completed
to at least two non-isomorphic unitals, leading to six pairwise non-isomorphic
unitals of order $8$.
