The traditional Garden experience has to include Sullivan’s Tap, even though it is a craphole. The Fours has pretenses to upscale and I personally don’t feel comfortable there. If you like good beer, the Boston Beer Works is terrific. I love to go there before games. Some people like the Harp, but I think it is a place where twenty- and thirty-somethings with backwards hats go to act like big shots. Of course there’s about 9 zillion others between the Garden and Faneuil Hall.
About a half-mile walk away, across from the Gov’t Ctr T stop is a real gem called the Kinsale.

Not a total bar (in that they only serve beer, wine and port), but an awesome place to see a game, if only because I can light up a nice maduro and watch the game from a leather couch. Folks may think the attitude’s a bit snooty, but only if you let it get to you. Until the deluxe man-cave with the high-end ventilation system is finished (in my dreams), Cigar Masters is the closest thing to heaven I can think of!