So Jean is coming to the present from the past. We are getting 616 Jean without the "baggage" as one might say. So basically she's getting a fresh start and a chance to not be defined by a cosmic entity and a love triangle. She was a hero but many things overshadowed this and now it's time to start anew.
She's now young and in her prime, before things got complicated with her character and has never died.
Things I would like to see:
What I would like to see is for history not to repeat itself. I want her past history to be acknowledge but not fulfilled if that makes sense.
I think the concept of the Phoenix is intriguing but in practice it's really hard to understand, so I hope Bendis veers away from it.
She's been at the centre of one of the most infamous love triangles in comics, so I think this is a good chance for her not to be so bound to this. I'm over the Scott-Jean relationship and Logan-Jean seemed to make more sense to me even though I was never really invested in it. With her young age, it would (hopefully) dissuade the older counterparts. I don't want her to be with younger Cyclops either. If she had to be paired with someone, I would hope they explore her relationship with young Warren. But I would really like to see her be without the romantic entanglements for a while.
No b*itch fight with Emma. Even in death, this rivalry between Jean and Emma exists. Emma has insecurities on the subject of Jean and makes no secret of her dislike of her. I love Emma when she's at her finest and is not afraid to be a HBIC, but a feud between Emma and young Jean would severely regress Emma's character I think. The rivalry seems to be expected rather than just a thing of the imagination, and I , for one, would like for it not be present at all. If anything, I would like to see a relationship similar to that of Kitty's and Emma's relationship during Whedon's run on Astonishing X-Men, where they acknowledge they are equals and share an understanding, but are just too different to be consider each other friends and just lack a certain amount of trust. I just really want playful banter between Emma and Jean.
Basic power levels. When a character becomes so defined by their powers it leaves little the way in of character. I would like to see a powered-down Jean, struggling to control and get a handle on her powers yet isn't afraid to get into the heart of a fight. Someone mentioned to me that Jean was said to have some gymnastic ability in some early Uncanny, I'm not sure, but I would like to see that applied to her.
And a new costume because those Original 5 costume are ugly as hell.
Just note, I'm writing this this with the assumption that everyone mentioned will survive AvX.