Term for an unevenly aligned street intersection?

If the lane is parallel, but offset, then it seems to be commonly referred to as a Staggered Junction or an Offset T-Intersection.

If the lane meets at the same point on both sides of the intersection, but at a different angle, then a commonly used phrase is Skewed Intersection (oblique alignment is rarely used)*.

*Edited to correct the statement that "oblique alignment" was commonly used; it's actually rather rare.