The single most important thing is this: Being able to tell your story in a coherent narrative.

Everyone (including the recruiter or hiring manager) finds it easier to listen to a story, understand and remember it.

So think of your career as an adventure, with a beginning (tell your long term vision, desires, goals etc), challenges and problems to be overcome, how you overcame them, what you have learned and what new goals you've set. Most importantly, clearly direct the listeners attention to the skills you have gained and your most important qualities such as leadership, problem solving, prioritization, dealing with complex problems, time management etc.. Pick these in advance, having studied what the job requires.