In addition to the previous answers, which say you can convert your list to set, you can do that in this way too
mylist = [u'nowplaying', u'PBS', u'PBS', u'nowplaying', u'job', u'debate', u'thenadnow']
mylist = [i for i in set(mylist)]
output will be
[u'nowplaying', u'job', u'debate', u'PBS', u'thenadnow']
though order will not be preserved.
Another simpler answer could be (without using sets)
>>> t = [v for i,v in enumerate(mylist) if mylist.index(v) == i]
[u'nowplaying', u'PBS', u'job', u'debate', u'thenadnow']