1. The cunning thief disappeared into the dark alleys, as if he had suddenly evaporated.

Great work

2. The recent rise in cardiovascular diseases poses a big challenge to the National Health Ministry.

Good sentence but I'd normally use "threat" for this

It has proposed a new law thatA new law has been proposed, that will force taxes on obese people, but it hwas met with a strong opposition from many people, saying it infringes basic human rights.

ItThey hasve also uploaded a series of health education videos in an attempt to show exemplary lifestyles.

It got popular among the younger generations, and has become quite a sensation.

4. The company has made many leveraged transactions this year, but is still growing rapidly.

He was decidedly uncomfortable about the fiasco.

A word like 'upset' or 'angry' or a synonym of those words would fit better.

2. The recent rise in cardiovascular diseases poses a big challenge to the National Health Ministry.

"Diseases" also works.

ItThey hasve proposed a new law that forces taxes on obese people, but it hwas met with a strong opposition from many people, who saying it infringes basic human rights.

ItThey hasve also uploaded a series of health education videos in an attempt to show exemplary lifestyles.

3. The song represents emancipation from toxic relationships.

While I can understand this, 'emancipation' is a word that is usually only used in a few contexts, one being emancipation from slavery.

It gotbecame popular among younger generations and has become quite a sensation.

Many similar songs were publishreleased afterwards, andbut some were suspected of plagiarism.

1. The cunning thief disappeared into the dark alleys as if he had suddenly evaporated.

I like your wordplay with the use of evaporated here! It's clever and is good imagery.

In this sentence, I think "alley" singular sounds more natural.

He was decidedly uncomfortable about the fiasco.

uncomfortable -> upset, apprehensive.
If the chief is dismayed with their subordinates performance, they would be "upset" or "disappointed", instead of "uncomfortable".

ItThe Ministry has proposed a new law that force taxes on obese people, but it hwas met with a strong opposition from many (people), saying that it infringes basic human rights.

When referring to the National Health Ministry, "The Ministry" or "They/them" is better than "it".

I think "people" in this sentence is optional.

ItThey hasve also uploaded a series of health education videos in an attempt to show exemplary lifestyles.

It has -> They have
"educational health videos" is also ok

3. The song represents emancipation from toxic relationships.

"emancipation" in American English is usually used in only specific contexts, like when talking about slavery or oppression. Emancipation is also a legal term describing getting legal independence as a minor. This sentence is not wrong but there it feels a bit out of place. Instead of "toxic relationships", maybe "an oppressive society" would work better.

It got popular among younger generations and has become quite a sensation.

got -> became
is a bit more formal but might fit better with the tone of your writing.

Many similar songs were publishreleased afterwards, and some were suspected of plagiarism.

Books are published, songs are released

wWords p Practice 1-12

1. The cunning thief disappeared into the dark alleyways as if he had suddenly evaporatdisappeared.

Evaporated is used to talk about when water goes from a liquid form to a gas, not about people

This blunder was a disgrace to the police, and the chief expressed his dismay in the following press conference.

It has proposed a new law that forceA new law has been proposed that raises taxes on obese people, but it has met with a strong opposition from many people, saying it infringes on basic human rights.

ItThey hasve also uploaded a series of health education videos in an attempt to show exemplary lifestyles.

Since you’re probably writing about a corporation or an institute, using they is better and more clear.

3. The song represents emanciprehabilitation from toxic relationships.

Emancipation is used in a sentence like “The emancipated slave had found a new life in the north”

It gothas gotten popular among younger generations and has become quite a sensation.

Many similar songs were published afterwards, and some were even suspected of plagiarism.

4. The company has made many leveraged transactions this year but is still growing rapidly.

5. Attempts to disseminate false information have been overlooked by the messaging app company.

Given that this seems to be a sentence in a larger article, mentioning what the company does here seems unnatural, more often than not, they would just be referred to as “the company” here.