|Bunn 23400 and Black & Decker CM618|
They don't require burners and the pots can keep liquids hot for several hours.
Where I worked we had one of those standard pots that everyone kept forgetting to turn off at closing time, so on many mornings there was a burning mess in the pot.
Besides the energy efficiency and safety of not having a heating coil under the pot, Coffeemakersusa.com has a good argument for switching to an Airpot coffee maker.
After that I also switched from regular coffee mugs to plastic air-insulated cups.