The most common and most likely answer to this crossword clue is the 9 letter word PARCHEESI
I've seen this crossword clue in The Guardian
P
A
R
C
H
E
E
S
I
More clues leading to the result PARCHEESI
Buddy explains!

The straight part
We know that "board game" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case board game = parcheesi.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does PARCHEESI mean?
PARCHEESI noun- An ancient Indian board game in which players, throwing dice, shells, etc. to determine the distance of each move, attempt to be the first to take all of their counters around the board.