I'm fortunate because my peers are all responsible, talented people who do good work. I know I can rely on them. Despite this, I still sometimes need to manage them a little bit to make sure I can deliver on my commitments. They manage me a bit, as well, if I haven't gotten back to them about something they need.
For example, I keep very good track of which response letters I've sent to Karen for review. If I haven't heard back on something for several days, I'll drop in her office and check up on it. I tell my interns to do the same thing with me - if they haven't heard back about a letter they sent to me, they should ask me what's going on with it, to make sure I haven't misplaced it or forgotten it.
The important thing, in my mind, is to keep track of what you depend on others for (whether those "others" are your subordinates, colleagues, or bosses). Hold them accountable to what they have committed to delivering to you. Do it in a friendly way, but let them know that you rely on them to accomplish your own tasks on time.