big spoon/little spoon:
Eliwood is the big spoon, of course. Dragon form does not count for this calculation.
favorite non-sexual activity:
Long strolls in the manor gardens. ...Can you tell that I'm not good at fluff?
who uses all the hot water:
Eliwood, of course. What need does an Ice Dragon have for hot water? :P
most trivial thing they fight over:
'You shouldn't blame yourself!'
'Ah, Lord Eliwood... I should.'
'You shouldn't!'
'I should...'
who does most of the cleaning:
The servants Ah... probably Eliwood.
what has a season pass on their dvr/who controls the netflix queue:
Ninian.
who calls up the super/landlord when the heat’s not working:
Eliwood. Ninian wouldn't really notice... :B
who steals the blankets:
Eliwood.
who leaves their stuff around:
*scratches head* Er... neither of them, really...
who remembers to buy the milk:
Eliwood.
who remembers anniversaries:
Eliwood.
who keeps racking up the bills on iTunes
Ninian needs her musical accompaniment. >_>
who has to be dragged away from bookshelves [or comic book shelves, if neither is a reader]
Er... Ninian? Technically, she did need to literally be dragged away from Nergal's old study... for completely different reasons.
who is most likely to get eaten by a grue
Ninian. D:
who ends up being the overprotective one
Uh, yeah, this one is obvious. >_>
(Though I guess you could argue that the dragon siblings would be the most likely to be overprotective if they had any power. Since they're usually in no state to be protecting anyone, though...)

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big spoon/little spoon:
Is Essie ever anything but the demure little spoon? |P
favorite non-sexual activity:
Wanking over how those filthy fanbrats fail to appreciate canon. C'mon, you even have to ask? :P
who uses all the hot water:
A lady never admits to using all the hot water.
most trivial thing they fight over:
Essie's claims that such-and-such a pairing is canon when it actually isn't... :P
who does most of the cleaning:
Zacharias. Probably is a bit obsessive-compulsive about these things.
who calls up the super/landlord when the heat’s not working:
Essie. With much weeping and wailing.
what has a season pass on their dvr/who controls the netflix queue:
Essie. Do Lifetime Original Movies come out on Netflix? Zacharias is more of a reader/gamer.
who steals the blankets:
*the official Zach/Essie fanclub denies any silent brawls over who gets to have the blankets tonight*
who leaves their stuff around:
Zacharias... unless you're talking about Harlequin romance novels/tissues/half-empty bottles of Prozac, in which case... yeah, Essie.
who remembers to buy the milk:
Zacharias.
who remembers anniversaries:
Essie. Loudly. And pointedly. For weeks beforehand.
who keeps racking up the bills on iTunes
Zacharias.
who has to be dragged away from bookshelves [or comic book shelves, if neither is a reader]
Well, actually... >_>
Zacharias denies ever having bought a decent chunk of the Sci-Fi/Fantasy section of a Barnes & Noble in one go. Meanwhile, Essie has been asked repeatedly not to set up a tent in the Romance aisle.
who is most likely to get eaten by a grue
Essie. Zacharias is more likely to give you a long and pedantic lecture on the golden age of Interactive Fiction and the different varieties of grues.
who ends up being the overprotective one
Zacharias. It helps that Essie's natural response to danger is to find the nearest heterosexual male human in the area and hide behind it. >_> In this respect, she is much like Patrick...