1000 or Zero IBU
Brewers more or less compete in brewing beer with the highest International Bitter Unit (IBU). In 2010 the Danish brewer Mikkeller brewed a beer with a theoretical IBU of 1000 (named Mikkeller 1000 IBU). There are more or less a physical limit to how much bitterness a beer can contain. According to Mikkeller 6½ kilogram of alpha-acid extract and 10 kilograms of simcoe-pellets was used per 1000 liters of beer! If you are not a brewer I can tell you it is a lot.
Last year the small Swedish brewery Slottskällan brewed a beer with a theoretical IBU of 0. The beer is named, you guessed it, Zero. It is a light hazy amber beer with a small white head an aroma of malt, caramel and grapefruit. The taste is medium bitter. The IBU is measured to 87 and it is a really nice and dry beer.
Thank you Urban and Maarten for a great experiment!