There have been plenty of posts here recommending questing to new players as a means to gaining experience and swag but I've yet to see anyone list their favorites... here are a few of mine;
Nettleville Hovel - Verth's Delivery - In the back alleys of the hovel, you can find Verth who will ask you to pick something up from his brother at the Nettleville bell. The something is a case of bootleg liguor and if you bring it back to Verth, you'll get some coin but if you give it to Captain Hastings, (the guard), you'll get some coin and a nice 8 slot bag.
Oakmyst Forest - Proof of the Oakmyst Poachers - Talk to little Stewart Tredo then kill 2 poachers and you get a cool 2 handed staff. An outstanding weapon for any young priest.
Oakmyst Forest - One of the ladies in the clothing shop in NQ will send you out to get 4 Oakmyst Great Bear hides for her. Reward is a nice pair of leggings.
Antonica - The other lady in the clothing shop will send you out to Antonica (near the North Gate), to kill 4 Antonican bear. Reward is a nice shoulder piece.