I own Classic, Revised, Anniversary, Spring 1942 1st Ed. and I’m waiting for my 2nd Ed. copy to arrive but I’ve already played 10 games online of 2nd Ed.
I like Anniversary but I’ve prefered Spring 1942 1st Edition as a better experience: it’s leaner to play (no NOs, no tech, 5 powers) and the 1st Edition is the most balanced of the ‘big’ A&A games (I never used a bid and they are low when used for the Allies).
And I’d recommend for you to get Spring 1942, 2nd Ed. - the map has been redesigned to include both elements of AA50 and Global and to me it’s superior than the AA50 map. It will be probably cheaper to get the pieces that way than to order them individually.
And you can create a house rule quite easily to add Italy: switch all German units on Libya, Italy and Southern Europe by Italian ones. German/Italy’s turn is now combined (they receive and purchase separately but the combat moves and combat are made together).