Well, I answered some of this over in FAP, but I'll just play the cut/paste game:
*What is the most enjoyable thing about H/G?Most enjoyable? There's so many things. My evil side would like to say the justification in laughing at all the anti-H/Gers

, but that's a poor reflection on the ship. I guess I'm just a sucker for a happy ending, which is what H/G is to me.
*Did you like the Epilogue in terms of H/G? Did you feel it advanced anything we already had or just reinforced it?Well, a lot of the anti-H/G sentiment springs from the lack of development of the romance in the series, and to be honest, they have a point. We get some moments, but that's about it. We can see that Harry's developing stronger feelings for Ginny throughout DH, but is it love? We don't know...until the Epilogue. I don't think Harry or Ginny would marry unless they had found love...they just don't strike me as the kind of people that would have a loveless marriage. So in that sense, it advanced it.
It also killed all of the fanon ships involving Harry or Ginny. I gave a mad cackle of glee when I first read it, and I would have high-fived JKR if she was there at that moment.
*What are some H/G scenes you would have liked to have seen in the books?Maybe a little more development, but not much. I would have liked a little more direct interaction in the summer of HBP, if only to have something a little more concrete than the onset of Amortentia pheromones. Perhaps a bit more direct interaction after the Trio returns to Hogwarts in DH as well. Interestingly though, I'm perfectly content that 'I love you' happened off-stage.
*What are your all-time favourites?Oh, the standard ones: the early years of amused glances

, the Yule Ball date issue

, 'Lucky You'

, chocolate in the library

, the chest monster(we need an appropriate smiley for that), the Kiss

, the happy hour by the lake

, the Birthday Kiss

, the dot on the Marauder's Map

, the fact that Harry was derailed from going after Voldie in the final battle when he saw Ginny was in danger from Bellatrix

, and of course, the Epilogue

.
*Do you view H/G as simply a fluffy couple or something more?As written? Certainly higher on the fluff than the angst, but since it isn't developed in depth in the books, it is open to many interpretations, and I love them all.
*What H/G scenes do you want to see in the movie versions of HBP and DH?I seriously doubt Dean will be an issue in HBP, so none of that. I'd love to see some kind of image flash of an indistinct Ginny (as in, unrecognizable, except for maybe a flash of red hair) when Harry smells Amortentia. The Quidditch of book 6, and of course the kiss. If we could get a better hint of the 'happy hour' or the time spent together in general, I'd love it (it'd blunt the arguments of the nay-sayers a bit, I think). The break-up also has to be done.
As for DH, meeting up again after the 7 Potters, the birthday kiss, the bridesmaid dress. I think the two I'll be seriously disappointed if they aren't there is Harry watching Ginny's dot on the Marauder's Map and his image of her before he gets 'killed'. Both of those scenes really conveyed the depth of feeling to me.
When did you first start to think that Harry/Ginny was a romantic possibility?Second read-through of PS through GoF (I picked up on the series after GoF came out). I realized that Cho wasn't truly Harry's love, so I realized I hadn't read carefully or else there was a new character waiting to be reintroduced. My second read-through, I was like "oh duh! It's Ginny." Hermione never once entered my thoughts--she was going to be Ron! It was so obvious!
What made you start actively shipping them?See above. When something makes sense, it makes sense.
What do you hope for re: The Kiss in Movie!HBP? How would you film it if you were the director?Something along the lines of Seviet/Marta's artwork of the same thing (minus the Jim McGuffin thing, though that was hysterical). I thought that sequence was brilliant.
What do you think of the arguments that Harry and Ginny bring out the worst in each other?Heh heh heh. No really, I do laugh at the thought.

Whenever someone makes that assertion, I take great delight in shredding them, especially if they ship Harry or Ginny with someone else, because I can almost always give better arguments of that nature against their ship (Harry/Hermione is especially fertile in that respect)

.
What are some of your favourite H/G friendship moments?The standards: eye-catches, Chocolate in the library. Basically, read Red Monster's essay, it really says it all.
In what way does Ginny challenge Harry? Does she just sit back and let him do whatever he wants? Besides the 'lucky you' scene in OotP? She doesn't, really, not in the books. But it's not because she's a doormat; she either agrees with Harry's decision on her own, or understands she has no choice (Harry breaking up with her, or being sent away from the battle by her mother--though in the latter instance, she gave Harry a bit of a betrayed look). I think the 'lucky you' scene was sufficient proof that when Harry was clearly being a prat, she would set him straight. Harry wasn't a prat when he broke up with her, and he wasn't a prat when he didn't gainsay Molly.
What sort of meaningful conversations have they had during canon? What did they talk about off page during their breif relationship in book six? What did they talk about immediately after the war was over?This is all conjecture, of course, but based on what I saw of them...
During their relationship, probably safe topics at first; I don't disagree with some H/G critics that hormones drove the couple, especially at the beginning. Deeper issues would have eluded them for the most part--Harry is still too tightly wound, and Ginny might be too. However, Harry does describe her as his greatest source of comfort, so that would suggest to me that they discussed deeper issues to some level.
Two themes would have dominated their discussions following the war: Fred's death and Harry's life. Everything he had to hold back would come up, a bit at a time, a flood of info here and there. Meanwhile, Harry would be there for Ginny, sharing in her grief for Fred's loss.
What, for you, is the best part of shipping H/G?I could go with something sentimental and say the people (I do like you all, don't worry!), or something meaningful about love...but for me, it's being right. It's being able to look at that atrocity of an icon "Fight illiteracy, kill a H/G shipper" and say "now who's friggin' illiterate, huh?" A bit petty, but that icon really pissed me off.

(Just fixed a borked tag -- Ashwinder)
(heh, thanks...I fixed one of my own typo's, and changed a profanity that got changed to something even more ridiculous! -- Daksian)