I don’t think any of the Weaselys or Hermione will die. The Weasely family is just too strong, happy, and loving to insert a death into the family.
My predictions (no spoilers since they’re just guesses):
The Durseleys will change for the better. They may not become the Weaselys, but they’ll become more accepting when they find out Mrs. Durseley has magical abilities she’s suppressed. She might even need to die saving Harry’s life, or come close. The relationship with Harry will change to something approaching respect, or at least politeness.
Dumbledore will die, for the reasons outlined above (he’s the deus ex machina Harry will need to stop relying on, and he’s the father/grandfather figure Harry must avenge).
Snape and Harry will come to an understanding, especially when Snape finally realizes Harry isn’t James. He’s been very immature on this matter, blaming a kid for the actions of his father, and in general treating him like shit.
Harry will realize Snape has saved his life more times than anyone, even Dumbledore has. I’ve wanted to slap Harry more than a few times for his attitude toward Snape, even when the man saves his life. Not even a thanks. I really hope Snape doesn’t die, though. I think his death, even if it’s to save Harry’s life, will create unresolvable issues. His story needs to be wrapped up with his life, not death.
Draco ends up saving Harry’s life, or vice-versa. It creates a sort of love-hate relationship (sort of Buffy-Cordelia or Buffy-Spike). Draco starts to realize his family’s way isn’t the right way. Draco is smart and has great leadership abilities, but he’s a coward and gets off on being mean. Still, he’s young and could change; maybe he’ll turn his back on his family’s Voldemort connection. I also think he has a crush on Hermione, and he’s jealous of her relationship with Ron.
Hermione and Ron will actually get together. OK, that one almost seems inevitable. I also like the Neville-Ginny relationship better than Harry-Ginny. I just don’t think Harry needs a serious relationship until Voldemort’s dead.
The verdict’s still out on whether Harry will need to die to kill Voldemort. On the one hand, a bit of meta-gaming would imply that Rowlings wouldn’t do something so serious in a children’s book. On the other hand, I’ve read plenty of stories where the main character(s) died as sacrifice, (or should’ve; sorry, but I think Sam and Frodo should’ve died). It’s a dangerous chance, but if it fits the story, it should be done.