You already know the beginning of this one (a beach, petrified headless Evas, etc).
Thew, we see the graves Shinji made (it's stated by Anno it was _he_ who made them). The names of all main Eva characters are written on them, except for "Ayanami Rei".
We then see Asuka's grave.
And Asuka's foot kicking it to the ground. ^^;
(you can still see these graves in the actual ending... no names, but there is Misato's pendant nailed on one of them, and an other has been kicked down ^^ )
We then see Shinji and Asuka on the beach... and you know that scene, too (but this draft demonstrates that Shinji and Asuka didn't just wake up there after Third Impact... they've been living here for some times... meaning they _could_ be the two only humans willing to return, after all... ^^; )
When Shinji starts crying, Asuka was supposed to say something like "Idiot. No way I'll let you kill me" ("idiot" was removed in the storyboards... and the whole line was modified, eventually).
Then, the ending music (so, there was one... ^^ ) was supposed to begin, and the staff credits were to appear (Anno suggests a horizontal scrolling, like in GunBuster, I guess).
We were to see Eva-01 lying on the Moon, and woman's hair showing from its broken mask (but her face remains unseen).
Behind Eva-01, you could see Earth, entirely red.
And the Black Moon, destroyed.
The camera goes to the sun, then to the stars.
"Shûgeki" ("the end").
However, there's one thing that still catches my eye:
The graves are still around. Like in Last A, we can't see if there's anything written in them (I suppose Shinji simply had no means of writing or carving any names), but they are still there, even the one with Misato's pendant. And one of them is still broken in half.
So, to fill in the gaps, what I propose is this:
- Lilith "dies", Shinji re-materializes in the Sea of LCL, he swims/walks to the beach, and spends some time there (duh), enough time to gather some wood and erect these graves.
- Last A happens, or at least in part. Asuka herself returns from Instrumentality, she goes to the beach (instead of just materializing by his side), and finds the markers Shinji set in her and the other character's memory. Immediately she assumes Shinji thinks she's dead, so she kicks the marker with her name to signify she's alive. She finds Shinji asleep on the ground. Instead of waking him up, she decides to sit and sleep by his side. Maybe she even says"Idiot. No way I'll let you kill me", but not loud enough to wake him up.
- "One More Final: I need you" happens. Shinji wakes up, gets a brief glimpse at Quantum Rei, and is surprised to find Asuka by his side. He chokes her, she caresses him, he stops.
- I've also heard that the the EoE poster is canon, can anyone confirm this? If it is, it would mean that at the very least Shinji still got up, Asuka sat, and both of them spent some time looking at the horizon and Lilith's head.
This has some interesting implications because I think it further debunks the shipp-y theory that Shinji somehow made Asuka go back (which contradicts Yui's statements), but instead that Asuka came back on her own, kicked her own presumed grave and even chose to stay with Shinji. Which isn't shipp-y at all, mind you.