  Topological superconductors (TSC) become a focus of research due to the
accompanying Majorana fermions. However, the experimentally reported TSC are
extremely rare. The recent experiments reported the kagome TSC AV$_{3}$Sb$_{5}$
(A=K, Rb, Cs), which exhibit unique superconductivity, topological surface
states (TSS), and Majorana bound states. More recently, the first
titanium-based kagome superconductor CsTi$ _{3} $Bi$ _{5} $ with nontrivial
topology was successfully synthesized as a perspective TSC. Given that Cs
contributes little to the electronic structures of CsTi$ _{3} $Bi$ _{5} $ and
binary compounds may be easier to be synthesized, here, by density functional
theory calculations, we predict five stable non-magnetic kagome compounds Ti$
_{6} $X$ _{4} $ (X = Bi, Sb, Pb, Tl, In) which exhibit superconductivity with
critical temperature Tc = 3.8$ - $5.1 K, nontrivial $\mathbb{Z}$$_2$ band
topology, and TSS close to the Fermi level. In addition, the large intrinsic
spin Hall effect is obtained in Ti$ _{6} $X$ _{4} $, which is caused by gapped
Dirac nodes and nodal lines due to a strong spin-orbit coupling. This work
offers new platforms for TSC and spintronic devices.
