Boons:

His metal arm working again, which was completed here.
Bucky's mask, which grants him invisibility at night.
A ring, which allows him to visit places he's already been.
The ability to turn into a short-faced bear for two hours.
The ability to hold the bear form for four hours.

Other Items:

From Ariadne: A token that allows the bearer to see in the dark and a dagger with a plain hilt. A pair of black leather gloves that are charmed to help increase grip.

From the Outsider: A bone charm that makes his approach quieter. Another bone charm, which makes rats friendly to him as long as he has it.

Quests:

Where the Wildlings Are: The Hill Goats

At the behest of Ganondorf Dragmire, the Lord of Mair, Bucky tracked down a nomadic wildling tribe, the Hill Goats, that had been terrorizing trade caravans traveling to and from the city. He issued an ultimatum: swear fealty to Mair, leave, or be destroyed. The Hill Goats refused, and so over the course of the next few days, Bucky killed every raiding party that came to the road, until the Hill Goats were forced to agree to leave.

What is Not Good for the Beehive, Cannot Be Good for the Bees: The Fussy Mamma

Harry Potter requested that Johnny Storm and Bucky research and end the activities of a woman who was kidnapping young men and women and enslaving them in Mair's sex trade. Johnny went in to research the woman's activities, and relayed the information to Bucky, who then traveled to Mair and killed the woman and her guards, then freed the slaves in her brothels.