Bu ceket koyu renkli, ama bana çok şık görünüyor.

In Turkish, the verb to be is often not stated explicitly in the present tense.

So:

• Bu ceket koyu renkli = This jacket is dark-colored

There is no separate word for is here. Turkish commonly makes simple present-tense descriptions this way.

Compare:

• Ceket güzel. = The jacket is beautiful.
• Hava soğuk. = The weather is cold.

So the first clause is completely normal even without a visible verb.

Bu means this.

So:

• bu ceket = this jacket

Turkish does not use articles like a or the the way English does, so bu ceket is simply this jacket.

Literally, koyu renkli means something like dark-colored.

It is made of:

• koyu = dark
• renk = color
• -li = a suffix meaning with / having

So:

• renkli = colored / having color
• koyu renkli = dark-colored

This is a very natural Turkish way to describe color.

You sometimes can use koyu by itself when the color is already clear from context, but koyu renkli sounds more complete and natural when describing an item's overall color tone.

So:

• Bu ceket koyu. = This jacket is dark.
• Bu ceket koyu renkli. = This jacket is dark-colored.

The second one is a bit more specific and descriptive.

Ama means but.

It connects two contrasting ideas:

• Bu ceket koyu renkli = This jacket is dark-colored
• ama bana çok şık görünüyor = but it looks very stylish to me

So the sentence is contrasting dark-colored with stylish.

Bana means to me.

It comes from:

• ben = I
• bana = to me

With verbs like görünmek (to seem / to look / to appear), Turkish often uses the dative form to show to whom something seems a certain way.

So:

• bana şık görünüyor = it looks stylish to me
• literally: it appears stylish to me

Because bana is the more natural choice with görünmek.

• bana güzel görünüyor = it looks nice to me
• bana garip geliyor = it seems strange to me

Benim için usually means for me in a different sense, such as importance, benefit, or personal perspective in a broader way.

So here, bana is the idiomatic form because the sentence is about how it appears to someone.

Şık means stylish, elegant, or chic.

It is commonly used for clothing, appearance, and design:

• şık bir elbise = a stylish dress
• çok şık = very stylish

In this sentence, it describes the jacket's appearance.

Because çok means very, and in Turkish it comes before the adjective it modifies.

So:

• çok şık = very stylish
• çok güzel = very beautiful
• çok pahalı = very expensive

This works much like English very + adjective.

Görünüyor comes from the verb görünmek, which means:

• to appear
• to seem
• to look

In this sentence, görünüyor is best understood as looks or seems:

• bana çok şık görünüyor = it looks very stylish to me

So the speaker is giving a personal impression, not stating an absolute fact.

Because görünmek is the normal Turkish verb for to look / appear / seem in this kind of sentence.

The form görünüyor contains the -yor tense marker, which is often called the present continuous, but in Turkish it is also used for many general present-time meanings.

So even though English says looks, Turkish naturally says görünüyor here.

In English, you would usually repeat it:

• This jacket is dark-colored, but it looks very stylish to me.

In Turkish, the subject is often omitted if it is already clear.

So after Bu ceket, the second clause does not need another subject. It is understood that görünüyor still refers to this jacket.

Yes, it is very natural.

Turkish often places important descriptive information before the verb, and the verb usually comes near the end.

Structure here:

• Bu ceket = subject
• koyu renkli = description
• ama = but
• bana = to me
• çok şık = very stylish
• görünüyor = looks / seems

So the second clause is basically:

• to me + very stylish + looks

That is normal Turkish word order.

Yes, in many everyday contexts gözüküyor can also mean looks / appears.

So you may hear:

• Bana çok şık gözüküyor.

This is similar in meaning. However, görünüyor is often felt to be a bit more standard or neutral in teaching materials.

It mainly expresses the speaker's personal impression.

That is why bana and görünüyor are important:

• bana = to me
• görünüyor = seems / looks

So the idea is not This jacket is definitely stylish, but rather:

• It looks very stylish to me
• In my opinion, it seems very stylish

A more direct version would be:

• Bu ceket koyu renkli ama çok şık.

That means:

• This jacket is dark-colored but very stylish.

This sounds more like a straightforward description.

By contrast:

• Bu ceket koyu renkli, ama bana çok şık görünüyor.

adds the nuance:

• it seems stylish to me
• in my view, it looks stylish

So the original sentence sounds a little softer and more subjective.