Yep, Neptune. Also at the Jersey shore, there's Point Pleasant and PP Beach....slightly different take on the convention as I believe both identify as Boroughs. Not sure if the smaller, denser PP Beach started as the original "nucleus" even if not necessarily central to or majority surrounded by PP just adjacent to each other (not a donut situation).
A couple Morris County examples are Chester (Borough and Township) and Mendham (Borough and Township), and there also used to be a Chatham Borough and Township up until the late 80s, I believe (including separate high schools) but the municipalities may have then merged into one and I think both HSs did too.
Somerset County has Bernardsville and Bernards Township as a slightly different combination.
As far as donut towns, prime example is definitely the Metuchen Boro/Edison Township pair. If it wasn't for NJ legend Thomas Alva and his lab in Menlo Park, I suppose there would have been a "Metuchen Township" instead of all of that which we've known as Edison as the inventor's namesake. Another similar donut example where the two names are specifically not the same is Flemington (Borough) and the aforementioned in a prior post, Raritan Township.