Poppa Rick's has been mentioned on this Board back in January and February 2003 (with mixed reviews).
I happened upon it over the weekend and liked it so much that I feel it's worth another mention on Chowhound.
I tried the pulled pork, cole slaw, a couple of ribs and a small, homemade apple pie. Delicious.
It reminds me of the roadside BBQ shacks down in the Carolinas (which makes it a nice curiosity to find in Woodbury).
It's on Jericho Tpk in Woodbury. Phone and Fax: 631-692-6928. Mon-Sat 11 am to 7 pm, Sunday Noon to 7 pm.