I'm not sure that this is complete, but for those interested in KY I'll post
what I have and perhaps others would add to it.
1810 Kentucky Census
Christian County KY p. 84 - Ephram Kates - 30100 - 10100 - 00
p. 115 - Joshua Cates - 11010 - 42110 - 00
1820 Kentucky Census Index
Hopkins County KY p.236 - Abner Cates
p. 236 - John Cates
p. 238 - Alexander Cates
p. 238 - Benjamin Cates
p. 238 - John Cates, Sr.
Green County KY p. 069 - John Cates
Estil County KY p.042 Ravenna, Richard Cates
1830 Kentucky Census Index
Hopkins County KY p. 042 - Abner Cates
p. 036 - Alexander Cates
p. 050 - John Cates
p. 053 - Ezekiel Cates
p. 061 - Benjamin Cates
p. 061 - Richard Cates
Madison County KY p.124 - David Cates
p. 093 - John Cates
p. 093 - Richard Cates
Hart County KY p.207 - John Cates
Livingston Co KY p. 006 Salem - John C. Cates
Russell Co KY p. 108 - Josiah Cates
Hickman Co KY p.011 Columbus - Owen G. Cates
1840 Kentucky Census Index
Hopkins County KY p. 358 - John Cates
p. 366 - Alexander Catez (sic)
p. 368 - Richard Cates
p. 372 - Walter Cates
p. 378 - Abner Cates
p. 378 - Ezekiel Cates
p. 381 - Benjamin Cates
Hart County KY p. 183 - Nancy Cates
Franklin Co KY p. 291 - O.G. Cates
p. 306 S. Frankfort, O.G. Cates
Madison Co KY p. 242 Eastern - David Cates
Estil County KY p. 056 - Richard Cates
Christian Co KY p. 194 - Solomon Cates
Muhlenberg Co KY p. 359 - W.G. Cates
1850 Kentucky Census Index
Henderson Co KY p. 327 - Abner Cates
p. 322 - Ann E. Cates
p. 329 - Rufus L. Cates
Hopkins County KY p. 121 - Walter Cates
p. 127 - James Cates
p. 139 - Ezekiel Cates
p. 147 - Benjamin Cates
p. 147 - Samuel Cates
p. 157 - John Cates
p. 150 - Richard Cates
Christian Co KY p. 469 - Soloman Cates
Muhlenberg Co KY p. 250 - Wilson G. Cates
Jefferson Co KY p. 311 Louisville - George Kate
Graves Co KY p. 462 - J.C. Kates
Livingston Co KY p. 333 - James Kates
Madison County KY p. 219 - Isac (sic) Kates
Estil County KY p. 092 - Alexander Cates
Rockcastle Co KY p. 188 Northern - Verhard Cates
p. 193 Northern - David Cates
p. 192 Northern - John Cates
Hart County KY p. 246 - John B. Cates
Franklin Co KY p. 106 - Owen G. Cates
Owen County KY p. 239 - Richard Cates, Sr.
p. 217 - Richard Kate
1860 Kentucky Census Index - West (I don't have East)
Webster County KY p. 473 Slaughtersville - A.C. Cates
p. 474 Slaughtersville - Louisa Cates
p. 475 Slaughtersville - William R. Cates
p. 478 Slaughtersville - Richard Cates
p. 606 Vanderburg - Robert Cates
p. 609 Vanderburg - Alexander Cates
p. 610 Vanderburg - Alexander Cates
p. 610 Vanderburg - Charles Cates
p. 610 Vanderburg - James A. Cates
p. 610 Vanderburg - James H. Cates
p. 610 Vanderburg - Thomas J. Cates
p. 611 Vanderburg - Lorenza D. Cates
p. 623 Vanderburg - John Cates
p. 624 Vanderburg - John Cates
Hopkins County KY p. 669 Nebo PO - Alfred Cates
p. 654 Vandenburg PO - Benjamin Cates
p. 654 Vandenburg PO - Walter Cates
p. 655 Vandenburg PO - Mark Y. Cates
p. 617 Madisonville PO - Richard Cates
p. 673 Nebo PO - Walter Cates
p. 712 Madisonville PO - James F. Cates
p. 771 Madisonville PO - R.W. Cates
Christian County KY p. 530 Hopkinsville PO - Solamon Cates
Muhlenberg Co KY p. 791 Greenville PO - Wilson Cates
Graves County KY p. 141 Mayafield - J.C. Cates
LaRue County KY p. 196 Hodgenville - J.B. Cates
Hart County KY p. 828 Hammonsville Dist 2 - Mal T.
p. 828 Hammonsville Dist 2 - Mary A. Cates
p. 860 Hammonsville Dist 2 - William W. Cates