Your example doesn't mix the rules for future progressive and future perfect. Instead, it combines the rules for the future tense and the passive voice.
The future tense typically involves using some verb or verb phrase that carries a future-tense meaning along with an infinitive verb or verb phrase.
I will amaze you.
I shall amaze you.
I am going to amaze you.
The auxiliaries "will" and "shall" license a bare infinitive. The verb phrase "am going" isn't an auxiliary, so it licenses a full infinitive. All three of these examples employ the future tense, active voice, indefinite aspect and indicative mode.
The passive voice typically involves using some form of the verb to be followed by a so-called past participle form.
You were amazed. -- past tense, something amazed you
You are amazed. -- present tense, something amazes you
You are going to be amazed. -- future tense, something will amaze you
You will be amazed.
This follows both sets of conventions. It has a verb that indicates the future tense followed by an infinitive: "will" + "be". It also has some form of to be followed by a past participle: "be" + "amazed".
We can even add the perfect aspect to the future tense and passive voice. The perfect aspect is marked by some form of the verb to have followed by a past participle. On its own, it looks like this:
I have amazed you.
Combining all three looks like this:
You will have been amazed.
A future-tense verb followed by an infinitive: "will" + "have" = future.
A form of to have followed by a past participle: "have" + "been" = perfect.
A form of to be followed by a past participle: "been" + "amazed" = passive.