On your LIC leg, my two cents are (a) head north to Steinway, and the various Egyptian and other joints there for something we don’t see much of in the GBA, although we do have the excellent Armenian markets in Watertown that overlap a bit with the offerings on Steinway. See for example
Or, (b) head east to Flushing Main Street and wallow in the pleasures of Chinatown. The latter, especially, has been discussed extensively on this board. See, for example, this thread and links within:
Yes, we do have our very good, very own Chinatown, but the size, energy and variety of the one in Flushing (also the one in Manhattan) dwarf what we have.