Neos death in M1
After the burly brawl, Neo conviens with Morpheus. He talks about how Smith tried to copy onto him.
"It felt like I was back in that hallway. It felt like I was dying."
So, we can assume that Neo was aware of most everything when his heart stopped and he died. And something else I just noticed... He heard trinity, even when he was Jacked in. She was out, he was in. Odd.