Let's see...
I was a huge Mulder-Scully 'shipper back in my
X-Files days.

When I watched
Xena, I was always secretly kinda hoping she would get together with Ares. But then, I adored Kevin Smith (

can't believe he's been gone a year now). I loved the vibe between them, tho' I'm not sure they would qualify as "cute" (or terribly healthy, either, for that matter).
West Wing: I like the chemistry between CJ and Danny, and was pleased to see him return this season. I also confess to being something of a Josh/ Donna 'shipper, and wish that they would hurry up and get together.

(Although I recently read a hilariously funny mock-slash Sam/ Josh fanfic that had me ROTFL!
Elsewhere,
LoTR certainly abounds with slash possibilities: Frodo/ Sam, Merry/ Pippin, Legolas/ Gimli. When I read these books, I'm always struck by the warmth and closeness of the m/m relationships that is largely absent from the hetero couples.
In
Harry Potter, I would love to see an eventual Ron/ Hermione and/or Harry/ Ginny pairing.
OTOH, I will be happy when I'm finally holding book #5 in my hot little fists!

I'm going to have to take a week's vacation to read it properly, without interruptions.
Counting the days!
Firefoot
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