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'Perfect' (or perfective? can you call it that too?) is an aspect, not a tense in English.

You can have simple, continuous (or progressive), perfect and perfect continuous aspects.

The word...

oh wow yeah ..
i've got so used to spending ages explaining perfective aspect to my students and how it's used with certain words .. i somehow forgot you can use 'already' with the present simple ...

There's a mistake there. 'already' is generally only used in affirmative sentences. The negative equivalent is 'yet' :

I've already done it.
I haven't done it yet.

Let's not even discuss...