I don't know about a plain local html parser - at least not counting DOS
- but you might try Dillo. Very very small fast and light. Doesn't do CSS or certain other things but may be sufficient for what you want. Or maybe a console browser - lynx, links, w3m, etc. Actually, mc can parse html files if you hit 'F3-view' on them though that may just be a wrapper for something else.
-- Oops. Never mind. I just posted elsewhere and said I was going to go lay down. I need to do that, obviously.