Sk. Abdul Hakim Murad gives a good concise account of the lives of the Khulafa al-Rashidun, the first 4 Caliphs, 'rightly guided'.
Its a good series of talks, not very long, where Sk. Murad recalls the lives of the Four Companions of the Prophet (may Allah have peace upon them) and their time as Caliphs.
So if you are interested you can watch the video lectures here: http://quilliampress.com/
May Allah (swt) bless us and have mercy upon us.
P.S. I must add the last part, The Khilafa of Ali (ra) hasn't been uploaded yet but it should be sometime soon, inshallah.