It just happens that I have a picture of Rapunzel's Royal Table a few days ago, thought it was worth sharing so that everyone can get an idea about how much space there is between tables on the Disney Magic:
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This is definitely NOT the “two inches apart” some in this thread have described on the Dream.
If you do have a picture from other ships, please feel free to post them as well!
PS: the restaurant looks empty, partly because some tables already left. The dining show started late this night and most people ate their desserts at the 2nd appearance of Rapunzel. It would appear only the guests knowing there would be a 3rd song stayed (or those warned by their waiters). The tables that appear pristine (such as the one on the bottom right) are the real empty ones.