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Ok, thanks for the clarification here.

I do believe whatever we work on would end up being an extension of PGN:
http://en.wikipedia.org/wiki/Portable_Game_Notation

Some changes would likely need to take place in the format, and with the
moves, in order to account for a much larger range of games.

Like with PGN, we have essential data on top, a FEN, but also list the
moves.  Unlike normal PGN, we need to be able to handle more than 2
players playing, a wider arrange of boards and dimensions, and other
things like a wider range of move types.

Maybe we can call this V-PGN (Variant PGN) or even X-PGN or XPGN 
(Extendable PGN) or PGNX (Extended PGN).  It would handle all chess variants and all abstract strategy games.  It could also eventually be extended to other game genres also.