Surprisingly, there’s loads of nice mountaineering out of the Massive Apple.
Pochuck Valley to Pinwheel Vista: Stairway to Heaven, NJ
Lemon Squeeze and Eagle Cliff: Mohonk, NY
Purple and Blue Dot Trails: Mount Tammany, NJ
Shore Path: Palisades Interstate Park, NY
Escarpment Path: Kaaterskill Falls, NY
Breakneck Lengthy Loop: Breakneck Ridge, NY
Storm King Path: Storm King Mountain, NY
Click on via to Lonely Planet for particulars: