Burlington/Woburn area is kind of a beer wasteland - but many places may have Sam Adams on tap these days. Woburn has a Sea Dog brewpub that sells Shipyard produced beers if you consider Shipyard good beer. I think Flatbread Co. is probably your best bet for a decent beer list - technically in Bedford, but close to the Burlington border. Food can be pretty pricey though for what it is.
213 Burlington Rd Ste 113, Bedford, MA 01730
There are CHs who think there are good places in the towns you mentioned, but, having lived in the area 26 years, i am not one of them. I would suggest Parson's Table in Winchester Center (7 min from Woburn Center) which got 3 stars from devra first and is very well regarded. Bistro food w/ seasonal/seafood/ french influences. Otherwise, Sichuan Garden II in Woburn has some good authentic szechuan dishes.
Sichuan Garden II
2 Alfred St, Woburn, MA 01801
34 Church St, Winchester, MA 01890