Of course, this doesn’t apply to the book series, where the titles are just
The Hunger Games
Catching Fire
Mockingjay
(and there are only three of them, so it’s disqualified for that).
The first four books in the Green Knowe series happen to be in alphabetical order, but the fifth ruins that.
There’s a strange one that applies for Iron Maiden for their 80s studio albums, that I discovered on my ipod, which discards the words ‘A’ and ‘The’ at the beginning of titles when ordering them:
Iron Maiden
Killers
(The) Number of the Beast
Piece of Mind
Powerslave
Somewhere In Time
and it only just misses with the next one:
Seventh Son of a Seventh Son
The haphazard nature of it makes me think it was coincidental.
The forums right here on the Straight Dope Message Board are laid out thematically, not alphabetically, but until the introduction of Cafe Society, they happened to be alphabetical:
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