What I really miss from Origins, was specifically that the Origins. I was so excited for DAI to bring back race and thought, perhaps they'd bring that feature back. Nope. You can only be a Human Noble, You can Only be a Dalish Elf, you can only be a Carta Dwarf.
In Origins, you could be a Dalish Elf of any class, or you could be a City Elf. You could be an Elf in a circle, or you could be an Elf in an Alienage.
In Origins you could be a common Human, noble Human, etc.
It would have been awesome to add this in and add sequences BEFORE THE Conclave.
Such as your Lavelan Keeper choosing you to spy on the Conclave. Shows the journey to the Conclave, Dragon Age Inquisition title pops up when you see the Conclave or screen goes black, THEN the explosion.
Just give me a tie to this world.
Make me care.
Make me feel like I was living in this world before the Herald and Inquisitor business. Much like Origins did.
City elf and Alienage elf are the same, commoner human was never a thing you could only be a human noble. Plus we did know about the whole no origins stories long before launch. Having dragon age repeat it self over and over would make it like CoD. CoD found a recipe that works and keeps using that over and over guess everyone likes it now...oh wait.
And I think origins are much more well done in Inquisition rather than Origins. People actually acknowledge your Origin on more than one occasion or for the first 1 hour of the game. Don't get me wrong I really like the human and dwarf noble origins which in my opinion were the only ones that mattered at some point later in the game, maybe not so much but still.
The only notable difference i noticed with Origins stories was I wanted to kill Howe and I wanted to kill Behleen or whatshisname that's pretty much it. Dalish elf origin was really weak with no motivation or difference other than Shianni going "oh you came for us" literally 2 hours before you finish the game and the mage origin was only good because of the boon. I would like to see them return but I won't cry that they are gone.
EDIT : As for what the consequences are in origins notably different npcs at the end and this is the most important one SLIDES. Yes that's most likely what people talk about Origins has more slides at the end with a description of every single little choice you made. Thing is if they did that with Inquisition the epilogue alone would be close to 2 hours.