$(1)$
$sp^3d$ hybridization (Six $90^o$ angle between bond pair and bond pair)
$(2)$
$sp^3d^2$ hybridization (Twelve $90^o$ angle between bond pair and bond pair)
$(3)$
$\mathrm{PF}_5, \mathrm{BrF}_5, \mathrm{PCl}_5,\left[\mathrm{PtCl}_4\right]^{2-}, \mathrm{BF}_3, \mathrm{Fe}(\mathrm{CO})_5$