There's one tactic that's worked well to get LW posts on neglected topics: having a competition for the best post on a subject. A $100 prize resulted in some excellent posts on efficient charity, and the Quantified Health Prize (substantially more money) led to some good analyses of the data on dietary supplementation.
What about having a contest for the best contrarian post on topic X? Personally, I'd chip in a few bucks for a good contrarian post on intelligence explosion, the mathematical universe, the expected value of x-rationality, and other topics.
(I had this idea after reading this comment, and now that I think of it I'm reminded of ciphergoth's survey of anti-cryonics writing as well.)
I like this idea and am even willing to put money towards it, but some other similar experiments (of mine; maybe others would be better at this) didn't turn out so well ( this one got no entries, spaced repetition turned out okay, it but only got one good submission). Let me know if you're interested in putting effort into this (it wouldn't be hard to convince me to also do so, but I probably need someone else to help).
I'm worried that LW doesn't have enough good contrarians and skeptics, people who disagree with us or like to find fault in every idea they see, but do so in a way that is often right and can change our minds when they are. I fear that when contrarians/skeptics join us but aren't "good enough", we tend to drive them away instead of improving them.
For example, I know a couple of people who occasionally had interesting ideas that were contrary to the local LW consensus, but were (or appeared to be) too confident in their ideas, both good and bad. Both people ended up being repeatedly downvoted and left our community a few months after they arrived. This must have happened more often than I have noticed (partly evidenced by the large number of comments/posts now marked as written by [deleted], sometimes with whole threads written entirely by deleted accounts). I feel that this is a waste that we should try to prevent (or at least think about how we might). So here are some ideas: