Mike
London
After a little bit of searching it looks like Brooklyn Boulders is a good spot. Is there anywhere else I should check out? I'm basically just looking for bouldering at this point.
You might want to check out Chelsea Piers as well. There's a place in the "suburbs" of New York City called The Rock Club; it's in New Rochelle, a ~30 minute train ride from Grand Central Terminal.
Climb on!
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Same as rock climbing? The Cliffs at LIC at Long Island city Queens I heard is good. I've been to The Cliffs at Valhalla which is well run
http://www.thecliffsclimbing.com/
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Not that this is a huge boulder, but if you're in Manhattan and want a quick climb Crunch has 2 story rock climbing wall!
Shawangunk Mountains in New Paltz NY is a great place, about an hour and half out of the city but well worth it. You'll need a car....