I know Morricone's name due to the beginning of Metallica's S&M album with the San Francisco Symphony:
https://www.youtube.com/watch?v=kKypYslGEA8
Although it was enough to get me to pick up "Yo-yo Ma plays Ennio Morricone" that I also recommend:
https://www.youtube.com/watch?v=KQCGvfBc-oI&list=PL2D68C2EE4...
Despite the huge list of movies he has composed for, the only one I might have seen is "Lorenzo's Oil", and I'm not sure if I actually saw it or just heard the name quite a bit due to living in Pittsburgh at the time.
https://en.wikipedia.org/wiki/List_of_compositions_by_Ennio_...