First of all, a quick comment about the examples.
I was hoping you would have something to say about this.
I was hoping you would have been cool about it.
I was hoping you would have listed the Verus Iron Shield.
The first of these is not an example of the thing you are asking about.
I was hoping you would have something
Here, have is not being used to modify the tense of another verb. The statement is actually about the act of having a thing. The infinitive of the verb is to have.
In the other two examples, have is being used to modify the tense of another verb.
I was hoping you would have been cool about it.
The verb is to be [cool]. And the use of have is used to set the tense.
I was hoping you would have listed the Verus Iron Shield.
The verb is to list, and against have is being used to modify the tense.
I was hoping you would notice.
I was hoping you would have noticed.
These are both grammatically correct. But they are both different tenses of the verb to hope, and so they have different meanings. (i.e. the syntax of each is correct, but their semantics differ).
The first example, "I was hoping you would notice", is often spoken to someone at the moment they inform you that they have noticed. For instance, if you arrived from the hairdressers with a lovely new style, and your friend said "Ooh, I see you've had your hair done.", you might reply "I was hoping you would notice." I began hoping in the past, and I was still hoping right up until now. All that time, my hope was that you would notice it at some point in the future.
The second example, "I was hoping you would have noticed", I began hoping in the past, and have continued to hope up until the present. But my hope was that you would have noticed, i.e. in the time leading up until this moment, my hope was that you would have noticed before now, at sometime in the past.
More concisely:
In the past, my hope was for you to notice in the future.
as opposed to
In the past, my hope was for you to notice before now, but the time for noticing has passed.