I have a save game from ground combat where I just can't get past the alien turn. It happened one turn earlier as well (I also have the save game for that one if you want), but I was able to 'fix' it by reloading the autosave of the start of the ground combat, pressing end turn and reload the save game after the aliens did their first turn.
However this save just doesn't ever seem to get past the alien turn.
Just start the game, load the save, press end turn and wait till eternity. =P
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EndlessAlienTurn.sav
EndlessAlienTurn.sav