So here's the results[1] from Zillow for a 2BR for $2500 or less in an actual Boston zipcode. These aren't all the results, as it limits the results to 500. If you're not looking for a managed, new luxury apartment, it's tremendously easy to find.
Moreover, if you go on Craigslist, you'll find far, far more. Zillow listings are almost always represented by a realtor, broker or property management company so it's only a subset of the market.
They're mostly in Brighton and way deep Dorchester. The commonwealth ave one is as ridiculous as the same price being advertised for a real 2br in a doorman building in Chelsea. This is akin to measuring salaries by the high end of glass door. Sure. Someone may have gotten that price, or it could be a lie, but you won't.
Yep, flawed study. The stuff in Brighton, deep Dorchester, Hyde Park and Roxbury should be thrown out since a lot of it is very much not TOD and you'd barely know you were living in Boston.
That is pretty ludicrous - Dorchester makes up nearly 1/4 of the city's entire population and is by far the largest neighborhood land area wise. Plus it has the red line, high speed line, and commuter rail/fairmont line. Same goes for the rest of the neighborhoods like Rozzie, Westie, Hyde Park - the two families are three deckers are as 'Boston' as any Brownstone in the Backbay or South End.
Don't know why you're being down voted. Sure if you're extremely generous with your definition of "two bedroom" or "Boston" you can but a real two bedroom apartment in Boston proper will run you at least $3200. I'm moving to New York right now and my rent isn't increasing drastically (a tad less apartment for the money though).
I assure you, you can very easily find a 2 Bedroom for well under $3200 with a ~30 minute or less commute to Downtown Boston on either the Orange, Red, or Blue lines.