To determine which pair of species are not isostructural, we must define and examine the term "isostructural". Two species are considered isostructural if they have the same geometrical arrangement or shape.
${ NH_3, PH_3 }$:
Both ammonia (NH_3) and phosphine (PH_3) are trigonal pyramidal in shape. This is because both have a central nitrogen or phosphorus atom bonded to three hydrogen atoms with a lone pair, following VSEPR theory.
${ XeF_4, XeO_4}$:
Xenon tetrafluoride (XeF_4) is square planar, whereas xenon tetroxide (XeO_4) is tetrahedral. This difference in geometry is due to the distinct electron pair arrangements in each compound. Therefore, these are not isostructural.
${ SiCl_4, PCl_4^+}$:
Both silicon tetrachloride (SiCl_4) and the phosphonium ion (PCl_4^+) are tetrahedral. Thus, they are isostructural.
Diamond, silicon carbide:
Diamond consists of carbon atoms in a tetrahedral structure. Silicon carbide, commonly found in a similar tetrahedral crystalline structure (e.g., cubic), makes them isostructural.
Conclusively, the pair ${ XeF_4, XeO_4}$ consists of species that are not isostructural. Hence, the correct answer is ${ XeF_4, XeO_4}$.