Here in Irvington, NJ it is common not to center the center line of the street to be able to accommodate street parking on one side at least.
https://goo.gl/maps/VmVqbuogZkyNum3y7
Taken along CR 509 just north of CR 603 is one of many examples of this city using that method of striping.
Any other areas with this or another type of odd lane striping similar to this?
I would think that's pretty common. The center line is more or less centered on the vehicular traffic portion of the road, which makes sense.
What irritates me a little is when a newly-designated bike lane is painted on only one side of a road but the center line isn't moved to split the difference in the reduced vehicle area width, resulting in the direction with the bike lane having a narrower vehicle lane than the other direction.
It is pretty common. CA is one of the few states that employs a broken yellow line to designate passing on roads that are single lane in each direction. This comes in useful when the center line is not in the center of the street, to allow parking on one side but not the other.
Here's an example on Veteran Ave in Los Angeles:
https://www.google.com/maps/@34.0460463,-118.4377187,3a,75y,136.28h,72.07t/data=!3m6!1e1!3m4!1s7MIq6Q5RgkjxZvZw1KWbfQ!2e0!7i16384!8i8192