David's is supposed to be excellent and they take reservations, it's located next to Brew Moon. Another option is Jae's. It's only a couple of blocks up from Brew Moon and it has excellent food (great sushi).
Boston, MA
suggestions for Boston (theatre district)
There are 4 Jae's locations in Boston & Cambridge
1) Theatre District
212 Stuart St.
2) South End
520 Columbus Ave.
3) Atrium Mall
300 Boylston St.
Chestnut Hill
4) Cambridge
1281 Cambridge St.
The only one I haven't been to is the one in the South End. The Jae's in
the Theatr District seemed to be a little more classy with the Jae's in
Cambridge being the most casual. The food was excellent at the three
locations I've been to, very consistant.