Ilyen szerződést még nem láttam.

Ilyen means such, this kind of, or like this.

So ilyen szerződést means such a contract / a contract like this.

It does not mean a specific contract in the way ezt a szerződést would. It describes the type or kind of contract, not a particular one.

A useful comparison:

• ilyen szerződés = this kind of contract / such a contract
• ez a szerződés = this contract

Hungarian often does not use an article in places where English does.

With ilyen, a bare noun is very common:

• ilyen szerződést = such a contract

You can also say:

• egy ilyen szerződést

That also means such a contract / a contract like this, but it can sound a little more like one such contract.

So the version without egy is completely normal.

Because it is the direct object of the verb láttam.

Hungarian marks a direct object with the accusative ending -t.

• szerződés = contract
• szerződést = contract, as the thing being seen

So:

• látok egy szerződést = I see a contract
• láttam egy szerződést = I saw a contract

In your sentence, the thing not seen is such a contract, so szerződés becomes szerződést.

Because when ilyen directly modifies a noun, the noun carries the case ending, not ilyen.

So you say:

• ilyen szerződést
• not ilyent szerződést

But if ilyen stands alone, then it can take the case ending:

• Ilyet még nem láttam. = I haven’t seen one like this yet.

So:

• ilyen szerződést = such a contract
• ilyet = one like this

Még nem usually means not yet or still not.

In this sentence, it gives the idea:

• up to now, I haven’t seen such a contract
• natural English: I’ve never seen such a contract before or I haven’t seen a contract like this before

So még adds the idea of up to this point.

Compare:

• nem láttam = I did not see / I haven’t seen
• még nem láttam = I haven’t seen yet / I still haven’t seen

Because Hungarian does not have a separate present perfect tense like English.

Hungarian often uses the simple past where English uses either:

• saw
• or have seen

So láttam can mean either I saw or I have seen, depending on context.

In this sentence, because of még nem, English naturally prefers:

• I haven’t seen such a contract before
• or I’ve never seen such a contract before

So this is a very common translation difference between Hungarian and English.

Láttam is the past tense, first person singular form of látni = to see.

So it means I saw / I have seen.

Breakdown:

• lát- = see
• past marker appears here as -tt-
• -am = I

So láttam = I saw / I have seen

A small extra point: in the first person singular past, Hungarian definite and indefinite verb forms happen to look the same here, so láttam by itself does not tell you that difference.

Hungarian word order is flexible, and moving something to the front often gives it more emphasis.

So:

• Ilyen szerződést még nem láttam.

puts extra attention on this kind of contract.

A more neutral order would be:

• Még nem láttam ilyen szerződést.

Both are correct, but the version with ilyen szerződést first sounds more like:

• A contract like this, I haven’t seen before.

So the sentence front-loads what is most striking or important.

Yes. That is also correct and very natural.

The difference is mainly emphasis:

• Még nem láttam ilyen szerződést. = more neutral
• Ilyen szerződést még nem láttam. = stronger emphasis on such a contract

English often does the same thing with stress rather than word order.

If you say:

• Ilyen szerződést nem láttam.

the sentence is still grammatical, but it loses the up to now / yet / before feeling.

With még:

• Ilyen szerződést még nem láttam.
• implies so far, until now

Without még:

• Ilyen szerződést nem láttam.
• can sound more like a plain statement of negation: I didn’t see / haven’t seen such a contract

So még makes the sentence more natural when you want the idea I haven’t encountered one like this before.

This is a very important difference.

• Ilyen szerződést még nem láttam. = I haven’t seen such a contract / a contract like this before.
• Ezt a szerződést még nem láttam. = I haven’t seen this contract yet.

So:

• ilyen = type, kind, quality
• ezt a = specific thing

That is why ilyen is used here: the speaker is reacting to the kind of contract, not identifying one particular contract as unseen.

Yes. That is a very common shorter version.

• Ilyet még nem láttam. = I’ve never seen anything like this before.

Here ilyet stands alone, without szerződést. It works when the noun is clear from context, or when the speaker means something more general.

So:

• Ilyen szerződést még nem láttam. = explicit: such a contract
• Ilyet még nem láttam. = shorter: something like this

Yes.

You could say:

• Ilyen szerződést még soha nem láttam.

That makes the never idea even more explicit:

• I have never, ever seen such a contract before.

Without soha, the original sentence already strongly suggests never before in many contexts, but soha makes it unmistakable.