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Quickly looking over the V2 rulebook, most of BA seems the same, but there are a few small and not so small changes.

-LMGs and MMGs get an extra shot now.
-Templates for HE weapons rather than random number of hits. Rolling to hit is still the same.
Light Mortars and Automatic Cannons (Light and Heavy) =1" Diameter
Medium Mortars and Light Howitzers =2" Diameter
Heavy Mortars and Medium Howitzers =3" Diameter
Heavy Howitzers =4" Diameter
-Flamethrowers roll to hit now.
-Snipers cannot snipe at under 12", but ignore most penalties.
-AT guns fire HE as follows
Light and Medium AT =1" Diameter (Shermans and Cromwells get 2")
Heavy AT =2" Diameter
Super Heavy AT =3" Diameter
This makes Heavy AT guns more viable as you no longer have to trade off AT with Anti-Personnel.
-Down is -2 to hit
-Transports may fire 1 weapon when empty.
-Soft skins now roll on the damage table.
-Shaped Charge no longer suffers -1 to hit.
-Tough Fighters is no longer +1 attack. It now gives an extra attack for each hit scored in combat.
-Assault Rifles are 18" now.
-Medics can't shoot or claim objectives.
-Turrets on tanks can get jammed.
-HE weapons Vs Units in Buildings roll to hit the building. BOOM!!
-12 scenarios in the book.
-Japanese now have an army list in the core book.

Now I'm going to give it a proper read.

@Primarch

Worth to read this article. Thank you for quick summary.

That isn't all the changes, just the ones I caught going through the book quickly.