How to have Mathematica showing a dropdown list after entering an option and the -> in a function argument

Question

When I enter

Plot[Sin[x], {x, 0, 2 Pi}]

Mathematica returns, as expected, the expected Sinus wave of one period.

Plot has many, many options, when I enter:

Plot[Sin[x], {x, 0, 2 Pi}, Axes ->]

the Mathematica Notebook Interface immediately shows a dropdown list with options like

False
True
{True, False}
etc.

This is obviously expected behaviour, and the behaviour I want to copy in my own functions.

I have been looking into the documentation about

Options
OptionsPattern
OptionValue

I have read through answers here, and in Wolfram Community, but I am not sure if I am on the right track.

How do I create the behaviour of Mathematica showing a dropdown list after entering an option and the -> ( rule arrow ).

NOTE

Suggestions to other questions answering my questions in the comments do not answer my question. The answers are written for people already familiar with Options, etc.