One of my favorite topics!
Actually, the answer to your question depends on the purpose of the survey and the role of each question - if you could provide us with more specifics, we can answer your question more thoroughly.
I can provide some general guidelines, however:
There is a huge unresolved debate in the statistics world between those who feel that you must treat the scale as ordinal, and report the median, and those who feel that it's OK to treat the scale as interval and report the mean.
I distribute a 5-point Likert survey to my internal customers every year, and I report the mean - and I've never been led astray - I've been pretty successful in determining which issues are the most important to my customers.
So, personally, in most instances, I don't think it makes much difference. To be safe, you can report both the mean and median. In addition, market researchers often report the % of respondents who check off the "top box" (a score of 5 on a 5-point scale).
Another interesting approach with Likert scale analysis is to do a simple linear correlation between each question and a question which is designed to measure "overall" attitude. The questions that correlate highly with the "overall" question are what we call "drivers" - they have the most to do with the respondents' overall attitudes.
Hope this helps.