N90 TRACON Controller reported congestion involving VFR aircraft; arrival aircraft getting RAs from departures; and aircraft skirting the Bravo airspace.

Report 1 | Narrative: I was working the final for HPN and giving vectors to arriving aircraft. When I was trying to vector toward the final there were multiple VFR aircraft untagged just under the Bravo and outside of the Bravo. None of them getting flight following. Aircraft X was given the traffic and a heading to avoid; but the VFR turned into the aircraft and caused an RA. This happens all the time on the shoreline near the final for Runway 34 at HPN.The Bravo airspace needs to be extended to cover the airspace for final vectors. This has also been a problem from the HAARP position. The arrival aircraft get RA from departures and aircraft trying to skirt the Bravo.

This area is always congested and you are unable to see the unverified target.

Report 1 | Synopsis: N90 TRACON Controller reported congestion involving VFR aircraft; arrival aircraft getting RAs from departures; and aircraft skirting the Bravo airspace.