API
This is the thread's initial revision.
Ok, I have a simple API up. Just add &api=True to any Rankings or BotDetails page and it will return in nice easy-to-parse JSON-ish format. I say JSON-ish because real JSON puts double-quotes around everything, whereas I'm lazy and don't feel like doing a ton of double-quote escaping, and besides, we don't have commas or colons in our data so there isn't any risk.
If you don't want the entire pairings detail from the BotDetails, add &limit=0 to the page and it will leave them out.
Some usage examples:
http://literumble.appspot.com/Rankings?game=nanorumble&api=True
http://literumble.appspot.com/BotDetails?game=nanorumble&name=sheldor.jk.Yatagan%201.0.5&api=True
Of course, I'd rather you call Rankings once than call BotDetails with &limit=0 985 times, because although it doesn't generate the JSON, it still has to pull all the data in, which adds up for lots of requests. I'd ask that if you are getting more than 3, rather use the Rankings.
If there's anything else you'd like me to add to the API just ask, if it's already saved in my data it should be easy to whip something up to return it.