First notebook entry: Introducing myself

I am learning English， because I want make friends from around the world!
My native language is Chinese ,and I grew up in CHINA. [note: I suggest against writing "China" in allcaps. If you want to provide emphasis, use an exclamation mark instead]
I enjoy playing basketball and surfing the internet!

Red: grammatical errors

Blue: sounds awkward/unnatural/unidiomatic/etc.; suggestions for improvements while preserving approximate meaning

How many of us had have seen the movie, "Mama Mia," starring Merryl Streep?

It uses many Abba songs to be sung by the actors. The soundtrack features many ABBA songs ("sung by the actors" is basically implied; however if you wish to keep this phrase, I'd advise against using this awkward, pseudo-passive voice "songs to be sung by the actors," and instead go with "actors sing ABBA songs").

If you love the movie, then it may come as a surprise that this movie is based on other an earlier movie!

A 1968 comedy, "Buona Sera," starring the hourglass figure, (what does this even mean?) Italian actress Gina Lollorbrigda; "Buona Sera, Mrs. Campbell".

Instead of a story about an American woman living in Greece, it is about a reunion of War War II veterans back to in Italy.

She became the widow of a fictional Capt. Campbell, the name of the soup company she took to protect the reputation of both the mother and daughter.

^ this entire sentence does not make sense. First, it does not follow logically from the previous sentence: who is "she"? Secondly, how does assuming such an identity protect the heretofore unmentioned "mother and daughter"?? Am I to assume "she" is the unmarried mother who has a daugther?? Anyway, here is a grammatically correct version of this sentence: "She pretended to be the widow of a fictional Captain Campbell, which is actually the name of a soup company. She took on this identity to protect the reputation of a mother and daughter."

My, my, how the times have sure changed! 

For those who have access to Youtube, you can see watch the comedy movie trailer and hear listen to the complete theme song; a very chirpy piece.

Gina was not only an actress, a professional photographer, a sculpturess but a diva too. Here's an aria which she sang in her own voice. (Personally, I feel like the whole "in her own voice" thing is implied)
http://www.youtube.com/watch?v=wDC35KmJW7I&feature=related

Especially For you Elisa
http://www.youtube.com/watch?v=kwleaqTfByE&feature=related

Wikipedia

http://en.wikipedia.org/wiki/Buona_Sera,_Mrs._Campbell

Trailer:

For those who want to see more images of this screen goddess (goddess of the silver screen? I'll be honest; as an American, I've never heard "screen goddess" before [not saying it's not correct, and people will know what you mean] but this expression is much more common):
http://www.youtube.com/watch?NR=1&v=IB-t77NWJQU&feature=endscreen

Good job! Your written English is quite good. 

First notebook entry: Introducing myself

I am learning English, because I want to work in for an foreign-funded company.

I'm actually not sure how to translate "foreign-funded company." I think you mean just a <em style="color: #0000ff;">foreign</em> company, although that phrase also doesn't sound natural either. Perhaps you should just stick with "multinational [corporation]."

My native language is Mandarin, and I grew up in China.

This is a minor nitpick because this sentence is technically correct. However, as an American, I very rarely hear anyone say their mother tongue is "Mandarin." Instead, most of us just say "Chinese," and only use "Mandarin" when we want to specify or differentiate from other dialects. Similarly, you don't hear people say 普通话 is their native language.

I am fond of listening to pop music. I usually do some reading during my leisure free time.

Americans don't say "leisure time." We say "free time," though some people might also do stuff "for leisure" (this is less common and sounds more formal).

Please avoid using "AOLese". Even in very casual online conversation, most English speakers above the age of 14 do not use "u" and "coz" seriously.

First notebook entry: Introducing myself

I'm from Hong Kong, China and I'm learning English now.

This is a suggestion: I would avoid saying "Hong Kong, China" because everyone knows where Hong Kong is; similarly, you don't hear people say "I'm from Paris, France" or "I'm from New York City, US," etc.

So I'm glad to talk with u you and exchange ideas about learning languages and cultures as well.

I'm studying English coz because I want to study abroad.

Nice to meet u !

First notebook entry: Introducing myself

<em>Please</em> put an extra whitespace after the period! Not only is it grammatically correct, but it improves readability immensely.

I am an university student in China.

Comment: you don't say "an university" because there is no vowel sound. For example, you'd say "an underling" and "a unicorn."

I must learn English well because my major is English Education.

But my spoken English is not good, and I have a heavy accent.

I hope I can correct my pronunciation and improve my spoken English here.

What's more, I hope I can make friends from other countries.

Not bad!

Call It Dairy

^ The title is very strange to me. I have no idea what you're trying to say, but I'm going to guess that you probably mean "diary" (as in journal) instead of "dairy" (as in milk/yogurt...) >_>

I think I really need a personal teacher to tutor my me in English this time.

Although I registered on Italki two years ago, I am going to use this website efficiently until these days.

This sentence doesn't make any grammatical sense. It would be correct to say "I'm going to use this website efficiently these days." However, taken in context with the preceding clause, the sentence still doesn't sound natural. I think I can guess your meaning, and I would say, "Although I registered on italki two years ago, I have not started efficiently using this site until recently (or until a couple days ago)."

Before that, I am trying tried every way in of self-teaching, and to see how far I can go could get.

Be careful, because even though we English-speakers generally aren't very particular about verb tense, the "before that" definitely indicates past tense.

Actually, I haven't worked so hard after the graduation since I graduated from high school.

The fatigue pressure made me feel excited and confident which is much better than live living idly.

This doesn't make sense semantically. "Fatigue" means tiredness so that won't make anyone feel excited..."Pressure" means 压力, which may not be exactly what you mean, but this is the most common word Americans would use when talking about rigorous schoolwork. I also would not use "excited and confident" because they have very positive connotations. I would say something along the lines of, "The pressure motivated me to work hard, so I learned a lot/made fast progress. Now I am living idly and have no/less motivation."