Are all cubic point groups encountered?
I refer you to the second link in my answer for How does one recognized Td/Oh symmetry in molecules?, which (according to the abstract) describes some high symmetry species of unusual point groups $T$, $O$ and $I$. Additionally, the molecule [6.6]chiralane has $T$ symmetry.

Buckminsterfullerene is a well known $I_{h}$ symmetric molecule.

Don't know of any $T_h$ molecules but I'm confident they can be devised.