I'm one of the weirdos who kinda prefers DA2 and Inquisition to the original, even as I easily recognize the many reasons Origins is widely considered the best of the three.
The problems with DA2 are very real (it's ugly, incredibly repetitive, recycles more assets than I've ever seen in a AAA game, dumbs down the combat, etc.), but I like the basic skeleton of its story and its characters. I preferred the smaller, personal focus - you're not fighting against some continent-spanning generic evil, you're just an unusually talented refugee trying to make a life for his/her family who gets caught up in a series of local political storms while ascending in prominence in a specific city. I liked also the fact that the story is as much a personal tragedy as a hero's journey, which isn't really true of Origins even if you end up with a "bad" ending. Slightly paradoxically, it's also frequently a lighter, funnier game than Origins, particularly in one of its DLC.
Inquisition took us back to the continent-spanning evil thing, which I didn't particularly care for, but it has by far the best dialogue system of any of the games and, more subjectively, in my opinion the best-written and most impressively implemented companion arcs and quests. You defined your character's beliefs via in-game dialogue, and the game remembered your responses and adjusted your moral/spiritual profile to suit. Your companions are varied, interesting, and almost uniformly well-written. And Tresspasser is far, far better than the expansions for the other games.
I don't have a problem with Origins overall -- it's a good game, and I loved it when I played it at release -- and it clearly does some things far better than the other games (the class/race-specific intros; the tactical combat; the mixture of horror into high fantasy). But a lot of the dialogue and many character beats were borderline embarrassing (worst sex scenes in gaming history?), and I thought that a whole bunch of your companions were bland (Alastair to a certain extent, Wynne definitely, Sten probably) or silly-in-a-bad-way (Leliana, Oghren, Zevran, even Morrigan in certain scenes). And tonally, it's really bloody and dark. Sometimes this works pretty nicely as a brief dip into zombie horror ("on the first day..."), but it makes the game faintly depressing in a way that its lighter sequels avoid.