Other would be mostly heavy fuel oil, but would also include naptha, asphalt, and LPG.  A heavy fuel oil needs preheating to flow and so is mostly only good for industrial heating use.
Anonomous, As my comment and the linked article said, fuel oil is counted separately and is NOT part of "Other". This is from the DOE linked article, descrbing the "Residual" breakdown:

"Residual fuel oil, the heavy fuel used to run boilers for power generation and to propel tankers and other large vessels, once accounted for as much as 30 percent of the oil burned in stationary uses, and 20 percent of all United States oil use.  By 1997, those shares had fallen to 7 percent and 4 percent, respectively."

I agree that "Other" would include naptha, asphalt, LPG and other petrochemical components, but these can not account for 20% of the barrel.
 

According to Lou's graphic further down the thread, LPG is about 10% of refinery output, so possibly feedstock, LPG, coke, lubricants, and asphalt could be 20% of the total.