Does anakin skywalker die?
Yes, he does in episode 6 because he was getting to old and he wanted to see Luke Skywalker, his son with his own eyes, so Luke took off Vader's mask, which didn't alow Vader to breath in which killing him.
Anakin Skywalker injures his pregnant wife in a fit of rage. She did not die at that time, but is taken to a medical facility where she gives birth to Leia and Luke. It seems that her disappointment in her beloved Anakin exacerbates the strain of delivery and kills her. The medical droid states that she has lost her will to live.
Anakin Skywalker has fought Count Dooku (Lord Tyranus) he has fought Obi-wan Kenobi and he has fought Darth Vader (Darth Vader is Anakin Skywalker when he is evil, so he has technically defeated his inner demons), those are the battles that he has one. When he is Darth Vader he has fought Luke Skywalker (his son) but he lost.