"Charcoal Mine Korean BBQ" (Church Street, North Parra - next door to the bike shop) is better than Carne Station used to be, as far as I can remember.
"In The Mood For Thai" on the corner of George Street and Horwood Place (diagonally opposite the Roxy) in Parra is great for a quick, cheap feed. The food is cooked and served really quickly, service is pretty good, and it's a relaxing little atmosphere.
My favourite dumplings place is "New Shanghai Chinese" in Liverpool Street, Ashfield (currently closed for renovations), but they've also got two locations in Chatswood (Chatswood Chase and Lemon Grove Plaza), one in Bondi Junction Westfields, and one in Charlestown for the Newcastle peeps.