Well Missouri was similar in terms of four elections in a close temporal timeframe with very tight margins.
1952: R+1.57
1956: D+0.22
1960: D+0.52
1968: R+1.13
Also, keep in mind that during the third party system, there were 5 back to back knife fight elections that were anybody's game from 1876-1892 where the PV difference was 3 or less each time, so quite a few states were consistently close throughout this era.
New York
1864: R+0.92
1868: D+1.18
1880: R+1.9
1884: D+0.1
1888: R+1.09
Indiana
1868: R+2.78
1876: D+1.26
1880: R+1.42
1884: D+1.31
1888: R+0.44
1892: D+1.29
New Jersey
1868: D+1.76
1880: D+0.82
1884: D+1.67
1888: D+2.35
California
1868: R+0.48
1876: R+1.8
1880: D+0.09
1888: R+2.82
1892: D+0.05
1896: R+0.64
Connecticut
1864: R+2.76
1868: R+2.98
1876: D+2.37
1880: R+3.01
1884: D+0.94
1888: D+0.22
Very interesting.
