For New York, I tried to use the most conservative, albeit arbitrary definitions of both Midtown and Downtown. I defined Midtown as stretching from 34th Street to 59th Street and from 3rd Avenue to 8th Avenue. I defined Downtown as south of Chambers west of Broadway and south of the Brooklyn Bridge east of it. Both of these definitions are arbitrary, especially Midtown's since places such as Columbus Circle, Penn Station and the UN all fall outside the boundaries.
Also keep in mind that using the 2000 Census data for Downtown is now pretty meaningless since the past ten years have seen an enormous boom in apartment construction in Battery Park City and the conversion of countless early twentieth century highrises along Wall Street into apartments.
Midtown (defined as 8th Avenue to 3rd Avenue, 59th Street to 34th Street):
Total: 29,236
Geography: Census Tract 137, New York County, New York
Value: 6,797 Total Persons
Geography: Census Tract 112.01, New York County, New York
Value: 1,041 Total Persons
Geography: Census Tract 112.02, New York County, New York
Value: 380 Total Persons
Geography: Census Tract 112.03, New York County, New York
Value: 1,255 Total Persons
Geography: Census Tract 131, New York County, New York
Value: 2,086 Total Persons
Geography: Census Tract 104, New York County, New York
Value: 1,097 Total Persons
Geography: Census Tract 102, New York County, New York
Value: 269 Total Persons
Geography: Census Tract 100, New York County, New York
Value: 1,822 Total Persons
Geography: Census Tract 125, New York County, New York
Value: 1,762 Total Persons
Geography: Census Tract 119, New York County, New York
Value: 1,405 Total Persons
Geography: Census Tract 113, New York County, New York
Value: 322 Total Persons
Geography: Census Tract 109, New York County, New York
Value: 208 Total Persons
Geography: Census Tract 96, New York County, New York
Value: 210 Total Persons
Geography: Census Tract 94, New York County, New York
Value: 51 Total Persons
Geography: Census Tract 92, New York County, New York
Value: 1,334 Total Persons
Geography: Census Tract 84, New York County, New York
Value: 1,041 Total Persons
Geography: Census Tract 82, New York County, New York
Value: 2,764 Total Persons
Geography: Census Tract 80, New York County, New York
Value: 5,392 Total Persons
Downtown (defined as south of Chambers or the Brooklyn Bridge):
Total: 22,732
Geography: Census Tract 317.01, New York County, New York
Value: 7,951 Total Persons
Geography: Census Tract 21, New York County, New York
Value: 2,407 Total Persons
Geography: Census Tract 15.01, New York County, New York
Value: 4,562 Total Persons
Geography: Census Tract 15.02, New York County, New York
Value: 3,937 Total Persons
Geography: Census Tract 7, New York County, New York
Value: 907 Total Persons
Geography: Census Tract 9, New York County, New York
Value: 1,111 Total Persons
Geography: Census Tract 319, New York County, New York
Value: 332 Total Persons
Geography: Census Tract 13, New York County, New York
Value: 1,525 Total Persons