I quite like the idea of spears, especially if combined with throwing javelins (like the Qunari) for some ranged attacks. Though without as far a range as bows, obviously. Crossbows need a return. Why has Varric patented crossbows. Everyone needs the option.
I think it would be good if different weapon types within a category (e.g. 'one-handed') did the same damage but with different status effects. So a sword might cause 'bleeding' that does extra damage over time. A mace might do 'crushing' damage that hampers enemy movement speed. I haven't played a warrior in DAI, so maybe that's already a thing.
As for a new weapon, while swords are my preference for warriors, I would like to see some more options for mages. Does their foci have to be a 6' tall stick? Is there something special about the shape of a staff that rules out all other possibilities? If they want something that can shoot missiles and be twirled around they could also use a wand -- perhaps "baton" or "scepter" if "wand" is a turnoff -- and have that carried on the hip. I think that would be fun. So we might go to Tevinter in the next game. Are you going to tell me that a civilization that has been proudly using and developing magic for millennia is still stuck with the same kind of weapon for everyone? I find that hard to believe.
Oh, if they went for a wand-type thing, I'd quite like the option to use a shield with it.
Perhaps one option is a book, like the enemy spellcasters use?
As I understand it, Zither from the MP casts spells with a lute as his foci. I don't know if he's a joke character or something like the volus in ME3MP (haven't played it), but I like the idea. Presumably mages could use a wide variety of things as a foci. For non-spell damage, couldn't they just shoot basic projectiles out of their hands? It's not like they used the staff for melee in DAI, so it seemed pointlessly cumbersome.