Need to reach someone at Apple? Hit zero three times. If a virtual representative answers, say "operator". Pissed off at PayPal? Go to here for direct dial numbers. To reach a human at Bank of America, hit double zero, or hit three zeroes over at Wells Fargo.
Most viscerally rewarding seems to be Ikea, where you hit 0 rapidly and repeatedly, ignoring the plaintive, inhuman whines of "this is not a valid option..." until their system finally dumps you to an actual human being.
And for those veterans I know out there, if you ever want to get through to someone at VA in a hurry, hit the 1 and 0 buttons on your phone.