If you watched the Final Fantasy XIII demo this fight should be familiar, but for the first time you can see it with Lightning and Sazh speaking English. (Thanks for the tip Hello Hello!!)
Other small details in the command menus is a special attack for Lightning called “Radial Strike” and those explosions that look like fire spells are actually “Ruin” magic. Not sure if this is another name for Fire and Firaga or if this is something new. Ruin spells were not in the Final Fantasy XIII trial edition. Lightning can also chain four attacks instead of three like in the demo.
At the end Lightning summons Odin and it appears she can control him similar to calling a summon in Final Fantasy XII.