Firstly, thank you, Bioware, for two amazing games that I've loved and played to bits (and am still playing, on both console and PC. May the Wonders of Thedas never end

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In regards to past content reappearing in the next game, I'd love to see more references to Hawke/Warden/Companions even if we don't (T.T) ever play them again. Maybe my custom Hawke and her LI, or my Warden and her LI (with imports from DA:O/DA2)are generals/persons of importance in the War, dialogue based on the personality I played and on the side I chose, perhaps giving buffs/abilities to the current team a la Suikoden in a final-battle situation. Hell, you have my import data- give me my Hawke and LI as final battle companions, with the ability trees and class I played with in DA2!
It'd be just the same as when I switch to another person in my party and the AI runs them based on chosen tactics. Give me multiple parties spearheaded by Hawke & LI and Warden & LI, splitting up DA3 characters like we did when we chose before the Archdemon in Origins. Let me see them off with a tear and a smile, knowing that they're off into the sunset with their loved one into the uncertain future. Give me wrap-ups for my other companions the way we did in Origins, and for the Maker's sake keep a consistent timeline. Either Anders was with the Wardens for three years or he was with them for less than six months...make up your minds. XD
Give those of us with imports the ability to directly select import flags- there's a utility on Dragon Age Nexus that generates savegames from DA:O to DAII with checkboxes. Put that in the beginning, so that we can import data (looks/abilities/personality), and that anything that's uncertain (read: corrupted or garbage decisions) can be explicitly selected.
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Battle-wise, Origins was awesome because my tactical selection and party direction mattered; the actual combat, however, was slooowwww. I'm replaying it at the moment and if I didn't have so many mods going already, I'd install something to speed up the pace. At the same time, battles in DA2 were often over so quickly that I didn't have time to care about chokepoints and flanking (unless I played on higher difficulties, in which case most of my companions died within several rounds, leaving my Hawke to run in circles for ten minutes, wearing away at the opposition (Tranquility on Nightmare mode is truly a nightmare! Chantry marathon, around and around and around the track!))
I suspect this was due to an imbalance of damage-to-hitpoint ratio- if my toons had more health/stamina/mana but did less damage (same for their opponents), the battle would last longer, making tactical choices more important, but would still allow for great animation and individual attack pacing (which was a big improvement from DA:O.)
The damage/health imbalance also made my healers somewhat useless- by the time "Ally: Health < 25%" triggered a heal, said party member would either be dead or have potioned. Further refinement of the damage/health ratio would make tactics like "Enemy wearing medium armor" more valuable- if it takes longer to die, then me choosing the type of attack and positional makes a difference. If everything on the screen dies in 10 seconds, then those tactics simply clutter up my selection screen. If 3 of my 4 companions are dead because they had so little health, then what type of armor my enemy wears is irrelevant, because #4 is simply going to run in circles, attacking when able, praying and cursing.
Any chance that an ally unconcious for x amount of time, in battle, could wake up with a teensy bit of health? Just enough to maybe quaff a potion and get them back in the game, because maybe my 4th party member is a warrior, can't rez, and it's the beginning of the game and I can't afford spendy potions that rez them...
One thing that DA2 did absolutely right was in giving more tactics slots. DA:O gives them out like misers, and I like being able to plan my battle strategy and then watch it unfold beautifully.
In part battle issues were also due to lack of choices in the tactics screen- I set tactics like a madwoman, and it always infuriated me that I couldn't easily switch from Anders' Vengeance and Panacea modes seamlessly. I might choose "Self- At least 2 party members below 50% health" to switch to Panacea, but where is my "All party members above 50/60/75% health" to switch back to Vengeance and kick ***? I can choose "At least x allies are alive," but what if one goes down and I want my healer to switch from a damage buff (i.e. Anders' Vengeance) to a healing buff that allows rezzing (Panacea.)
It's possible to do with the Ally: Status: Dead, but I have to use a slot to deactivate Vengeance, another to activate Panacea, another to rez, another to deactivate Panacea, another to activate Vengeance and resume ***-kicking, and by then maybe I need to do a group heal, so I have to deactivate Vengeance, re-activate Panacea (assuming CDs are cooperating) group heal, deactivate Panacea, re-activate Vengeance, except my CD for Panacea wasn't up, so I didn't switch back, and now two party members are dead, and I'm waiting on a CD for rezzing, and oh, crap, that Templar hits hard, and why is everyone drinking all of the potions?
On a related note, cooldowns for buffs meant to be switched between constantly might be due some re-evaluation... XD
I'd also appreciate options like "in combat" and "out of combat" for the activation and deactivation of sustained buffs, rather than having to second-guess it with "Surrounded by no enemies" or "At least one enemy is alive." Given cooldowns on certain buffs, I'd rather not have my tank get rid of her buff simply because the mobs are over attacking the healer.
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Money, money money. There were so many great codex entries for items, and so many items I wanted to buy simply to read the codices for them. Alas, I didn't have the money, and by the time I did, the item was worthless, and look, there's another item over here that costs x amount of gold... but it'll be worthless in an hour or two, so I might as well wait for a drop or just wear the DLC items...
I know you guys said you were looking at Skyrim for inspiration, and on that note, I'd request the ability to run around in the great outdoors, fighting randomly spawned beasts, bandits, blood mages, Tal-Vashoth, and to loot them for moar monies. In DAII, once we cleared an area, it stayed clear, forever, thus denying us the ability to make money with good-old-fashioned hunting. I don't know if you can manage a whole real-time world that constantly updates as in Skyrim, but at least give us the option of having areas respawn with mobs. I say option because I'm sure some folks prefer to clear once and then run back for other quests/items and so forth without having to work their way through more bad guys.
If we'd had respawns, then we could have bought all the goodies in town, read the codices, enjoyed the lore and the looks, and still earned enough money to not need Dougal's help in DAII, end of Act I (if we wanted to put in the amount of time it'd take, that is.)
Codex entries are nice, but I actually prefer the flavor text on the items themselves. Easier to look at when it's in inventory and to match with the appearance of the item, instead of switching to the codex and going "now what did this epic robe look like again?" Maybe put the text in both places, so that we can go back to the codex for reference even after we've sold the old item for cash.
Stuff matters: I liked Parthalan, and I kept it around in my chest even after I stopped using it. But eventually it was just taking up space, and I couldn't use nor admire it, so I sold it. Let me decorate my house with weapons, armor, trophies (hell, I want the Arishok's skull! It's my gravy boat, right? ...ok, maybe not. That's pretty grisly...XD) but you get the idea.
Crafting matters- let us make potions, and poisons, and traps again. I'd rather gather ingredients and store them in that chest at home than buy potions from the vendor, and being able to craft on the go would make some of those dungeons easier to manage on harder difficulties.
Let me be a blacksmith, or a leatherworker- we've got reams of games with great crafting systems. Borrow from one or two, let us tear down old armors and craft new ones from the scavenged mats, gain skill points, make money. I never wanted to use any of those darkspawn items in DA:O (all those nasty -1 attribute points) but if I could scavenge materials out of them to make something spiffy, that would've been AWESOME. Let us customize color and general appearance and you'll have done more for your fanbase than WoW did for theirs. Hell, you guys merged with Mythic- take DAoC's crafting system and put it to good use!
And seriously, don't skimp on the flavor text. I will write it for you for free if I have to- just get rid of "junk" and make scavenging dead corpses something to smile about once more. Let my loot matter. No more torn trousers unless I can make epic mage robes out of 'em.
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Companions- keep up the good work. Loved (or loved to hate) pretty much everyone in both games. Would simply like to see more of them, with the ability to chat with your friends about their past, their views on your mission, their views on each other (a la convos with Joker in ME2, at least.) Let us kiss our LIs, hug them when they're sad, and no more fade to black. Seriously.
Other than that I have no quibbles. Banter and romance, characters you love, hate, roll your eyes at, yell at in frustration, that make you FEEL are one of the major highlights of the game. Just give us MOAR. And dear gods, if you give us the ability to marry, have children, even wee babbies with our LIs (a la Harvest Moon) and see them as parents amidst the struggle and drama, you will have all of my internets, ever. Hell, give us an LI with a kid. Hawke had a family, Finn talked about a family that we never saw, Fenris and Alistair had a sib we briefly saw- give these people families! (and then kill them off for massive ANGST

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I love inter-party romances. The two who shall remain unnamed for the sake of spoilers who pair up in ME3, or Fenris/Isabela, Carver/Merrill, Sebastian/Bethany- I love love love it. Their dialogue is awesome and all I ask for is MOAR.
You've heard everything there is to hear about re-used environs already so I won't reiterate that. Overall I loved both games, and am looking backward with fond reminiscence, forward with anticipation.
Thanks for being awesome!