wǒ xǐhuan zhège yàngzi.

It follows a very common Mandarin pattern: Subject + Verb + Object.

• 我 = I
• 喜欢 = like
• 这个样子 = this look / this way / this appearance

So the structure is very straightforward: I + like + this look/way.

样子 can mean several related things, depending on context:

• appearance
• look
• shape
• the way something is
• the state someone or something is in

In this sentence, it most naturally means the look or the way it is like this. So the sentence could refer to a hairstyle, design, arrangement, expression, style, and so on.

It can mean either one, depending on context.

• If you are talking about visual style, it is closer to I like this look.
• If you are reacting to how something has been arranged or done, it can be closer to I like it this way.

That flexibility is normal in Mandarin. 样子 can refer both to outward appearance and to the way something is.

These are close, but not exactly the same.

• 这个样子 usually feels more like a noun phrase: this look, this appearance, this state
• 这样 usually feels more like like this / this way
• 这样子 is a common colloquial form of 这样

So:

• 我喜欢这个样子 = I like this look / I like it in this state
• 我喜欢这样 = I like it this way
• 我喜欢这样子 = similar to 我喜欢这样, but more colloquial

Your sentence focuses a bit more on the look or state itself.

Because Mandarin normally uses a measure word after a demonstrative like 这 when it comes before a noun.

The pattern is:

• 这 + measure word + noun

So here:

• 这 + 个 + 样子

个 is the most common general measure word in Mandarin. That is why 这个样子 sounds natural, while 这样子 is a different expression with a slightly different structure and feel.

Because 这个样子 is a normal demonstrative + measure word + noun structure, and that structure does not use 的.

So this is correct:

• 这个样子

Not:

• 这个的样子

You do use 的 in other kinds of phrases, for example:

• 我喜欢的样子 = the appearance/style that I like

So 的 is not missing here; it simply does not belong in this structure.

Because they are often pronounced with a neutral tone in these words:

• 喜欢 = xǐhuan
• 这个 = zhège
• 样子 = yàngzi

A neutral-tone syllable is lighter and shorter than a full tone. This is very common in natural Mandarin speech.

So a more natural pronunciation is:

• wǒ xǐhuan zhège yàngzi

rather than giving every syllable a strong full tone.

Yes. 喜欢 is the standard everyday verb for to like.

It works for:

• people
• things
• styles
• activities
• food
• ideas

So 我喜欢这个样子 is a very natural way to say that you like this look or this way something is.

喜欢 is usually like or be fond of.
爱 is stronger, more like love.

So:

• 我喜欢这个样子 = I like this look
• 我爱这个样子 = much stronger, and often less natural in everyday situations unless you really want strong emotion

For ordinary comments about style, design, or appearance, 喜欢 is the better choice.

Yes, absolutely.

• 我喜欢这个样子 = I like this look
• 我很喜欢这个样子 = I really like this look / I like this look a lot

With 喜欢, 很 really adds intensity. It is not just a filler word here.

It sounds natural in many everyday situations, for example when talking about:

• a hairstyle
• clothes
• makeup
• a room layout
• a design
• a photo edit
• the way food is plated
• the way something has been arranged

For example, if someone changes the design of something and you approve, 我喜欢这个样子 is a natural response meaning I like it like this or I like this look.

Yes. It can refer to a person’s appearance, expression, or even state.

Depending on context, 我喜欢这个样子 could mean something like:

• I like this look on you
• I like you like this
• I like this expression/style

So the exact meaning depends heavily on what the speaker is looking at or talking about.