Ok nothing fancy. If you wan to stay close to the airport your options are not limited but tougher.
First I would say Santarpios in East Boston.(Note: do not expect a nice area just good food) Its is quite close to the Airport. It only serves small pizzas, sausage and lamb kabob. I would get the combo that comes with all three.
Next there is The Barking Crab which is a pretty good "shore style" seafood joint on the Boston/Southie border
Near there is "Luckies Lounge" which has very good sliders and bar food.
You could also do the North End but it can be pricey and Itallian is not my thing but if it is yours just head down and find a place.
South End has lots of restaurants to check out. Plenty that will have good lunch specials.
What kind of food do you like?
Also if you say where "Just west of the city" is I can give some specific recs that will be close. I live "Just west" .