As suggested by the commenter above, this paragraph is well constructed and requires minimal editing. I do not know how old you are or what level of writing you are striving for here, but if you don't mind, I am going to make a few suggestions.
First, I think you need to change the "as most people know" in the first sentence. Is there a way you can express other people's familiarity with Shakespeare's works in another way?
Second sentence: "He has proven to be one of the greatest writers of his time..." -- it is best to avoid "to be" as much as possible. Consider saying "He has proven himself one of the greatest writers..." instead.
Third sentence: "He presents tragedy in Othello and in Shakespearean tragedies" -- the repeated use of "tragedy" redundant, perhaps brainstorm a new way to say this? Maybe something along the lines of "Shakespeare presents tragedy in Othello along with several of his other famous works" (of course, I feel you could word this better, but it is just something to get ideas flowing). Then continue to say something along the lines of "in such works, the protagonist always has a tragic flaw" because I do not believe the ideas are linked closely enough to merit a semi-colon.
The word "portrays" in the fourth sentence should be changed to something the pertains a little better to what you are saying. Maybe "demonstrates" would do it more justice?
"The tragic flaw along with pride..." -- the beginning of this sentence is a little awkward. Perhaps use "Othello's tragic flaw, along with pride, causes the protagonist to make an error in judgment leading him to his downfall and eventual death." (note the added commas and the omission of the world "will": these will make the sentence flow easier. The removal of "will" is due to tense conflict).
In the last sentence: "Shakespeare shows for us..." -- remove the "for" it makes your point more understandable.
I know this looks like a lot of edits, but in all honesty, this IS a fairly well written paragraph. Good job, and hopefully you do not disagree with all of my comments.
