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I was thinking of posting similar game, but instead second queen, FIDE had cardinal (B+N) and pawn may promote to marshal (R+N) and camel ((1,3) leaper). Plus, as Xiang-qi looks as weakest player, it have additional two pieces: it moves as camel-mao (two squares orthogonally, when diagonally outwards) on home territorry, but it moves as rook on FIDE and shogi territrries (based on additional pieces from original 3-players XQ variants). When shogi captures pieces of other teams, it can be dropped, and it transforms into corresponding shogi piece (cannon and marshal transforms into shogi rooks, cardinals and vaos (see below) transforms into shogi bishops, camels and XQ additional pieces transforms into piece, Charles Gilman calls 'hump' - leaps 3 forward and 1 sideways on same move, promotes to gold general). Victory is achivied by capturing both hostile kings. XQ king may capture other kings either by rook rifle-capture, or move like rook to it's square (when cannot go to palace again. advisors can move out of palace and elepants cross river when, but not return back). All pieces conquered player had, now changes sides and transforms into corresponding piece (cardinals and shogi bishops transforms into vaos, diagonal cannons). Promoted shogi pieces become unpromoted, but FIDE pawns don't (and they also don't demote when captured by shogis, i forgot to say it). Turn order: Xiang-qi-Shogi-FIDE. In beggining, XQ cannons can capture FIDE knight or shogi bishop (second is not recommended, it will give advantge to shogi).
I also have team variant of this (it's not complete, i still have to think about it): 2 players are team, but third player have strong king: FIDE chess - maharaja (R+N+B), XQ - yitong (R+XQ horse+cannon), Shogi - lion (see description of chu shogi or piececlopedia).
What do you think about it?