I've never watched a ballet performance. According to the statement, [well written, no changes needed here]

ballet is a timeless form of dance due to its characteristic of accentuating their bodies and movements. [...a timeless form of dance   , (add the comma)   due to ...         

accentuating 'their' bodies...Whost bodies?  You have not mentioned anyone or thing that has a body up to now, to it should be ... its characteristic of the dancers accentuating their bodies...]

Recently, a style of street dance is catching on in Korea. so we can watch easily a TV show that competing each dancing groups to make a winner.  [good writing, but the punctuatin needs to be:  ...is catching on in Korea   , (add comma instead of using a period)  so we can EASILY WATCH (adverb comes before the verb) TV SHOWS WITH DANCE GROUPS COMPTEING FOR PRIZES.]

Thanks to this trend, many street dancers who are not famous until exposing in TV are getting famous in Korea. [Thanks to this trend, many street dancers become famous from exposure in Korean TV shows.]

Very nice work, Yongbeom!