West Shore....................................New York Ontario and Western as Tenant. But I forget the name of the junction, just know it is north of Haverstraw.
Hudson..........................................both Albany and Troy as junctions with the Delaware and Hudson, and Troy as junction with the Rutland. The Laurentian, Montreal Limited were D&H trains, the Green Mountain, the Rutland
Hudson..........................................Buffalo as junction with Toronto Hamilton and Buffalo
Harlem...........................................for a very short time, until the New Haven takeover....of the New York and New England RR route through Wilamantic to Boston. Originally this connected with the Putnam line, also a NYC route from the NY Metropolitan area, except that the Manhattan terminal was the 155th Street and Eighth Avenue terminal of the Ninth Avenue Elevatged, and the Putnam line crossed the drawbridge that was later used by the 9th Avenue El's connection to the Jerome Avenue elevated subway line (now No, 4) in the Yankee Stadium vacinity. Both running via the Harlem and running via the Putnam, the junction was in Brewster, I think.
But then much later there was a through service "via the indland gateway" between Boston and Grand Central Terminal using the NYC's B&A between Boston and Springfield, the NYNH&H from Springfiled south to the usual Woodlawn junction and the Harlem line into NY. Possibly Amtrak runs a train via this route today, I rode one once about 20 year ago. The equipment was the ex-Roger Williams Budd NH equipment.