(s) about the shapes of molecules and ions is/are correct?

Use VSEPR with the count of valence electrons on the central atom. (A) is correct: $\mathrm{ICl_4^-}$ has $7+1=8$ valence electrons on iodine, four used in bonds, leaving two lone pairs, and the six electron pairs are octahedral with the lone pairs trans, giving a square planar ion; $\mathrm{XeF_4}$ is the same. (B) is incorrect: $\mathrm{BrF_3}$ is T-shaped with two lone pairs in the equatorial positions, and these push the axial fluorines slightly toward the equatorial fluorine, so the angle is about $86^\circ$, not exactly $90^\circ$. (C) is correct: in both $\mathrm{XeF_2}$ and $\mathrm{I_3^-}$ the central atom has five electron pairs, three lone pairs occupy the equatorial plane of the trigonal bipyramid, and the atoms are collinear. (D) is correct: xenon in $\mathrm{XeO_3}$ and chlorine in $\mathrm{ClO_3^-}$ each carry three bonded oxygens and one lone pair, so both are pyramidal.