・食べることが好き ・食べるのが好き これらの日本語は同じ意味を示します。　「食べることが好き」は、より正しい文法を用いた日本語で、「食べるのが好き」は、「食べることが好き」の省略（口語体）と考えて良いでしょう。 -- Both sentences are meaning the same. 「食べるのが好き」 is an abbreviation of 「食べることが好き」; usually used in verbal communication while 「食べることが好き」 would be more used in both verbal and literary communication.

In addition, I noticed there could be some differences between those expressions. For example, take a look at this sentence, 彼女は楽器を演奏するのがうまいです。 This means as same as 「彼女は楽器を演奏する事がうまいです」; however, we tend to chose the first sentence(のが). For some reason, most of the time, people more tend to chose 「～のが」 in this case, I think. For another example, 彼は車を運転するのが本当に下手です。 This sentence is as same as the above example, we more often say 「運転するのが」 than saying 「運転する事が」. This is my personal opinion but we are apt to use "～のが" when we evaluate/estimate/express someone/something. Another example, この川は流れるのが早い We don't say 「この川は流れる事が早い」。 These are the differences as far as I noticed... Hope you can get the idea from it.

In addition, I noticed there could be some difference between those expressions. For example, this sentence... 彼女は楽器を演奏するのがうまいです。 This means as same as 「彼女は楽器を演奏する事がうまいです」; however, we tend to chose the first sentence. For some reason, most of the time, people more tend to chose 「～のが」 in this case, I think. For another example, 彼は車を運転するのが本当に下手です。 This sentence is as same as the above example, we more often say 「運転するのが」 than saying 「運転する事が」. This is my personal opinion but we are apt to use "～のが" when we evaluate/estimate/express someone/something. Another example, この川は流れるのが早い We don't say 「この川は流れる事が早い」。 These are the differences as far as I noticed... Hope you can get an idea of it.