Take your phone case off
iPhones are notoriously heat-sensitive, and it turns out that they have to work extra hard when they get too hot. And since many standard cases can cause them to run a little hotter than they otherwise would, it's wise to let them charge naked.
Leave it alone
This may seem obvious, but quit playing with your phone while it's busy trying to bring itself back to life. Making it do work slows down the charging process. Even just having the display screen on prevents it from juicing up as fast as it could otherwise be.