My poorly insulated Brooklyn bedroom is frigid in the winter. If it weren't for my Lasko space heater I would at least have chronic bronchitis and at most die of exposure.
Though it's small (just 6 inches by 7 inches by 9 inches), it does the duty of a bigger unit. It's also super simple with just two speeds—900 watts is low and 1500 is high—and it's really freaking affordable. Just $22. And while there is no price on warmth, in this case it comes cheap. [Amazon]