Scott McCartney has a decent Middle Seat column today in the WSJ on how to maximize your chances to redeem frequent flyer miles.
A couple sections particularly caught my eye:
On the airline side, road warriors suggest checking alliance Web sites—StarAlliance.com, oneWorld.com and SkyTeam.com—that show flights on partner airlines that may not be displayed on your own airline's booking site. Those partner airlines may have award seats available, but you'll need to ...

Note the original $1243 a/i price for this fare, which booked tickets into First Class on Qantas codeshares. I am usually really good at monitoring the Mileage Run Deals forum on flyertalk and have taken advantage of quite a few "sale" fares the last three years. I missed this one, unfortunately.
While United honored a "full-fare" Business Class ticket from LAX-AKL via SYD a couple years ago for $1800 r/t (normal price ~8-10X that) AA quickly announced ...