The other one I just saw was go out and collect spring berries.
The spring berries thing is not a quest, it's part of it, but it's not a quest (the quest in this case being the friggin main quest). It's in the beggining of the game, and it's to make the main character leave the camp because when you return it gets attacked.
Also, the ogre quest has an entire dungeon crawling segment, and can be resolved peacefully. There's also one quest in the beta that's going to take a sort of wyvern egg from X place, and present you a rival party that search for it, with a combat segment that is affected by your dialog choices (in my case, I managed to make 2 of the 5 enemy guys leave. Don't know if it's possible to avoid this particular combat), and the egg is in a high spot, which to recover it without breaking it you need several attribute and skill checks (or a rope).
So yeah, exactly like Inquisition...