"Such as" and "like" are both used to introduce examples, such as: (<== see, I just used it right there!): I love Anerican actors, such as Samuel Jackson and George Clooney. I like to play sports, such as tennis, volleyball, and baseball. Grammatically, this is correct. People use "like" to replace "such as" all the time in everyday speech, but technically it is not correct grammar: My friend has visited many cities, like London, Madrid, and Brussels.

They are identical in certain situations. Generally, that situation is a clarifying question. "They had everything I wanted at the restuarant!" If you respond with "such as?" or "like?", you are asking the same thing: asking the person to elaborate and give you specific examples. One main difference is "like" has multiple usages, or at least can be used in multiple contexts, contexts where "such as" wouldn't make sense. "I like sports," for example, couldn't be "I such as sports" lol