direct, immediate
The form has to be signed by your immediate superior.

intellectual, moral, social
military, religious

inform, tell
report sb/sth to
She threatened to report the assistant to his superiors.

be, look, prove (yourself), seem
feel (yourself)
She felt (herself) superior to the other children.

become
make sth
What is it that makes this technique superior?

consider sth, see sth as
I don't see either product as superior to the other.

clearly, distinctly, far, greatly, markedly, vastly
The new products are far superior to the old ones.
They defeated a greatly superior Roman army.

altogether, infinitely
Plainly, you possess an altogether superior intellect.
The house was infinitely superior to the kind of thing most men of my age could aspire to.

rather, slightly, somewhat
inherently, intrinsically, naturally
supposedly
undoubtedly
numerically
the numerically superior (= larger in numbers) British forces

genetically, intellectually, morally, socially, technically, technologically (esp. AmE)

in
a microwave that is vastly superior in design to all other models

to
She felt socially superior to the rest of the group.

Superior is used with these nouns:
court, force, intellect, officer, quality, rank, result, skill, status, strength