Ladies and gentlemen, I bring you the Sunbeam Hot Shot, retailing at around $20 USD:
It will heat a cup full of water to boiling in about the time it takes to put in a tea bag and measure out some sugar and slide the cup in. Fill tea cup with water, flip up lid, pour in, and hit the on button. It shuts off automatically when it boils. Push dispense and the hot water runs into your cup.
I got a new one today. My old one has gone to the great tea-room in the sky. I'd had it for seven years and made approximately 13,000 cups of tea with it (that's about five cups a day, which is less than I often drink but allows for days I wasn't home). The guts were still good - heating coil, thermostat, and switches, but the plastic casing had given up the ghost. The buttons were getting kind of wonky and when the lid fell off last week, I intended to continue using it but the husbeast went out and bought me a replacement. Now I'm good until 2014.
If you drink tea, you want one of these.