غُلَامُ زَيْدٍ: an ordinary noun related by belonging; semantic iḍāfah conferring definiteness.
غُلَامُ رَجُلٍ: semantic iḍāfah with an indefinite complement, giving specification.
ضَارِبُ زَيْدٍ: an active participle attached to its object; formal iḍāfah.
حَسَنُ الْوَجْهِ: a descriptive adjective attached to its semantic dependent; formal iḍāfah.
The second noun is genitive in every example, but the kind and semantic effect of iḍāfah differ.