the broken bike rack and handrail on Park Road near the Sticky Fingers, where a car ran off the road and broke them. They had sat broken for a few months. It looks like the bike rack may actually be getting fixed soon, though the handrail is on private property so it's their responsibility.
I emailed Jim Graham, who emailed DDOT. Jim Sebastian of DDOT replied on January 12th that "DDOT will be replacing the bike racks within the next two weeks." So we'll see!