"The Ballad of the Beaconsfield Miners" is named after the two miners who survived a 2006 mine collapse in Tasmania, who specifically requested the band's music (along with food, water and toothpaste) to be brought down to them while they waited to be rescued. Upon hearing this, Grohl personally wrote a fax to the miners to be brought down to them offering to share a beer with them when they were rescued.
One incident described in the Back & Forth documentary: in the early 2000s in London, Taylor overdosed and was in a coma at the hospital. After a couple weeks he woke up, and the conversation Dave describes goes like this:
Dave: "Dude, it's gonna be okay." Taylor: "Fuck off!" Dave: (thinking) "Oh good, everything's gonna be okay."
If you're a fan of rock distressed by the state of music today (and believe me, I know how you feel) just listen to Dave Grohl's award acceptance speech at the 2012 Grammys. It will reinforce your faith in music as a whole.
until they played Party Rock Anthem as the "get off the stage" cue