Surprised that nobody ever mentioned the wrong-way concurrency in West Virginia that keeps changing: WV-817 (north-and-south) and WV-34 (south-and-north) between the Winfield Toll Bridge and the Winfield Locks. Originally, it was WV-17 (north-and-south) but after the Silver Bridge Disaster it became US-35 (north-and-south).
The wrong-way concurrency on the other side of the Winfield Toll Bridge only changed once. Originally US-35 (north-and-south) and WV-34 (south-and-north), but after the Silver Bridge Disaster US-35 became WV-62 (north-and-south). So that gives you two different wrong-way concurrencies between US-35 (north-and-south) and WV-34 (south-and-north) separated by the Kanawha River (and time).
Perhaps I should add the wrong-way concurrency on the north side of the river is a bit odd. The concurrency between WV-62 northbound and WV-34 southbound runs between Red House and the Winfield Toll Bridge. But WV-62 southbound bypasses underneath the bridge, meaning that there is a short stretch [east] of the Winfield Toll Bridge where one lane is WV-62(N)/WV-34(S) and the other lane of the same road only carries WV-34 northbound. [West] of the bridge, WV-62 is a one-way pair.
And of course, there haven't been any tolls on the Winfield Toll Bridge since 1978. There's a funny story when the bridge was being reconstructed in 2010 where WVDOH posted signs that the "Winfield Toll Bridge" would "reopen by August 20". That unleashed a whole bunch of concern by not-so-local residents that the bridge would also charge tolls. It is one of the few remaining Warren Truss bridges of any significant length, and therefore is listed on the National Register of Historic Places.