DAI and Dragon's Dogma don't even belong in the same sentence. Perish the thought! The game play in DD, the combat and how well you can teach your pawns to do pretty much everything uber efficiently including not get stupidly killed except by the cheezy dragon roar make that the superior game combat wise, AI wise, and even the foes are so much better. These in DAI are clearly stolen from DD. The dragons use UR/Grigori moves but not even smartly. It's just a ripoff. AI here is dumbed down due to crappy tactics that were much better in DAO. They might have had a chance if they keep tactics as good as DAO but even then, combat in DD is far more engaging and really a lot more fun in some ways though I do like a few changes they made in DAI for warriors. I find the limiting of 8 skills on whole to be a terrible idea most specifically with regard to mages. As far as worlds go, DD and DAI are pretty close on the vast wasteland of boring for many maps. That was a huge downside of DD and it seems DAI copied that for the most part.
Now comparing Skyrim, skyrim always wins on the map. It just does. It has day/night cycles, areas with seasons, it's a TRUE open world and it has countless places to explore all with their own rich lore. Game play is mediocre but if you are less about game play and combat and more about the world and what's in it then skyrim wins hands down.
DAI tried to take from both but in doing so likely found it could not do both so it dumbed down AI and tactics and skills, went for creating a false sense of challenge by limiting potions and herbs then gave us some of the dullest maps I've ever seen and frankly DD, whose map I thought sucked actually wins on this one because it's not multiple desert like wastelands that I have to spent time going through loading screens to get to only to find there is little or nothing to do. DULL
Graphics are tied between skyrim and DAI, however, in fairness I'm comparing a modded pc skyrim to a next gen DAI console. So that's kind of hard to say then who is the true winner. I'll call it a tie to be fair to both.
On all counts but graphic DAI falls short of those it copies simply because it attempt to copy them but does not even come close to realizing what truly made DD and Skyrim great in each area they own. DD owns combat, companion or pawn AI and enemy AI. Skyrim owns exploration, open world maps and all that goes with that. This leaves DAI as a contender but they might have been best to at least combine the best of DAO and DA2 for combat so it wouldn't be miles behind DD which is where it is now.
If they want to compete, they need to at least truly focus on one aspect and do a much better job that they did. It's not a bad game bu to compare it to the two winners in their specific strengths just amplifies DAI's shortcomings IMO.