Which from following is NOT hydrogen like species?

A hydrogen-like species is defined as having only one electron.

Li⁺²: Lithium has atomic number 3, so Li⁺² has $3 - 2 = 1$ electron, making it hydrogen-like.

Be⁺³: Beryllium has atomic number 4, so Be⁺³ has $4 - 3 = 1$ electron, making it hydrogen-like.

Li⁺: Lithium has atomic number 3, so Li⁺ has $3 - 1 = 2$ electrons, which is not hydrogen-like.

He⁺: Helium has atomic number 2, so He⁺ has $2 - 1 = 1$ electron, making it hydrogen-like.

Thus, the species that is not hydrogen-like is $\mathrm{Li}^{+}$, corresponding to option C.