I enjoyed both DA games, and am not afraid to admit than enjoyed Dragon Age 2 MUCH more than Dragon Age 1.
For all the (fake)freedom Dragon Age 1 had, I felt that despite the pretty good story, the player's main character and some NPC were horribly left to the wastes with very poor personalities and simplistic stories, Morrigan was one of the few, if not the ONLY exceptions, unfortunately they gave her that awful and bugged Witch Hunt DLC, but that didn't make her background bad, she was a great character through and through. Dragon Age 1 was good, but poorly executed in my opinion. Last but not least, I played through it 2 or 3 times, so that means I enjoyed it, but every time it felt like a cheap Neverwinter Nights knock-off (unless you read the BOOKS to get into the whole universe, but as much as i enjoy reading books, reading game books that contain important info is really really wrong, yes I'm looking at a MANY games out there).
Dragon Age 2 had almost zero character customization (at least important ones), but that allowed them to give a better focus to Hawke's story, he felt REAL and tangible, however the price paid was that the character felt less "melted" with the gamer, because he's not really your character (granted, THAT killed the traditional RPG concept), but the writer's. Also, my choices in Dragon Age 2 felt more powerful, I felt like really deciding things, maybe they didn't have actual gameplay impact - but no game seems to be successful at that once you look deeper - but they were decisions to events that really spoke to me; such as that whole affair with mages and towers near the end (if you played you know what I'm talking about). However, everyone com plains about this and I must do so as well... Side quests are a complex matter, some games like Fallout will throw at you all these complex side missions that end up building the whole game, other games like Borderlands and BOTH DA use them as a mechanic for you to waste more time leveling up, in this case, the least you can do is trick me with interesting new areas, like in Borderlands and Dragon Age 1, Dragon Age 2 was more sincere, and that isn't always the good option, it was a pain in the ass going over the same caves to kill a number of different enemies.
All in all I enjoyed DA 2 more, because of the better characterization, and better story overall. I give great focus to storytelling (and graphics, but since that wasn't an issue...), so Dragon Age 2 took the gold for having a 360º character, even if he/she wasn't really MY character, at least his/hers choices were mine to make (or at least that's the impression I had)...