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Please coorect these 3 sentences:

1. I like to speak with native English.

2. They highly appreciated the great and important achievements Thailand people recorded over 15 years.

3. These companies being repeatedly in deficit account for 35%.

Q
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Tung Quoc2. They highly appreciated the great and important achievements the Thai people recorded over [a period of] 15 years.

What is the meaning of record here?

In general record means:

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to set down in writing : make a written account or note of : furnish written evidence of : put into written form
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In this case:
Write in the history
or simpler:
Give evidence of, achieved, attained.
Comments  
1. Technically there's nothing grammatically wrong with the above, but it's a strange sentence. Generally you either speak with native English or you don't. It's not really something you can choose, although arguably you could consider it an aspiration. As a native speaker, it's difficult to imagine how I would speak with non-native English. Poor English perhaps, but non-native? This also begs the question: what is native English? But that's a debate for an entirely different occasion.

2. They highly appreciated the great and important achievements the Thai people recorded over [a period of] 15 years.

The definite article isn't necessary unless you're specifically talking about the entire population. Furthermore you could just say Thais, but I don't like it because it's an awkward word to read. The square brackets denote an optional addition, but I like the added rhythm it gives the sentence. You might also want to replace "great and important" with "significant" - I think it has a nicer ring to it.

3. These companies' accounts repeatedly showing a deficit of 35%. (assuming I understand your original sentence correctly).
Hope this helps.
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2. They highly appreciated the great and important achievements the Thai people recorded over [a period of] 15 years.

What is the meaning of record here?

Q
 Marius Hancu's reply was promoted to an answer.