Here goes.

1. My brother is very aggressive person. [fine]
2. I was angry yesterday. [fine]
3. I will be anxious all week. [fine]
4. He felt ashamed when she knew the truth. [fine]
5.Devin was very bashful child.
6. The film was very boring so we left the cinema.
7. She is a cautious person and always thinks before she speaks.
8. My father is confident man. He isn't afraid of any problems.
9. He looked confused when I kissed him.
10.I am very curious about my trip

Good job, mostly just little mistakes. By bushful, did you mean bashful?

Check me please

1. My brother is a very aggressive person.
2. I was angry yesterday.
3. I will be anxious all week.
4. He felt ashamed [when she found out the truth] <em>or</em> [that she knew the truth].
5. Devin was a very bushful child.
6. The film was very boring and we left the theater. <em>(Cinema is technically correct, but sounds weird to an American.)</em>
7. She is a cautious person and always thinks before [she speaks] <em>or</em> [starting to speak]. <em>(The first is a common construction "Think before you speak!", the second is possible but requires the "ing".)</em>
8. My father is a confident man. He [isn't afraid of any problems] <em>or</em> [doesn't fear any problems].
9. He looked confused when I have kissed him.
10.I am so curious about my trip. <em>(This is correct, but a little strange.  It would be better if you took out "so", or added an exclamation point "!" on the end.)</em>

Mostly, I'd say you need to pay careful attention to the use of the definite article.  Good work!

Check me please

1. My brother is very aggressive person.
2. I was angry yesterday.
3. I will be anxious all week.
4. He felt ashamed when she knew the truth.
5.Devin was very bashful child.
6. The film was very boring and we left the cinema.
7. She is cautious person and always thinks before start to speak.
8. My father is confident man. He doesn't afraid of any problems.
9. He looked confused when I have kissed him.
10.I am so curious about my trip