History Extra (BBC History Magazine) has an episode on the history of Student life and working class culture
I've re-posed your query to H-Podcast and will be adding your list and any others that come up to a new History of Education category on the Academic Podcast Roundup. One that's up there already is Harvard EdCasts from Harvard's Graduate School of Education -- it's more about policy, but has some more history-oriented episodes. Looking forward to checking these out.
Another History of Education podcast is "Ed History 101" https://goo.gl/nJicSq
It doesn't appear to have a university affiliation, though it does provide citations and may be of interest.
Another standalone episode of possible interest is from the podcast 15-Minute-History, in which they discuss the 1966 UT Austin Tower Shooting: goo.gl/v8uN7y
Information about the podcast from their About page ( 15minutehistory.org ):
"15 Minute History is a podcast series is devoted to short, accessible discussions of important topics in World History and US History. The discussions will be conducted by the award winning faculty and graduate students at the University of Texas at Austin."
I also really enjoy the podcast from the Education Writers of America, or EWA. They choose one news story about education each week, and talk to the report about the assignment and research process. Obviously more contemporary topics, but the range of areas covered is pretty great.
I've really enjoyed Have You Heard with Jennifer Berkshire and historian of education Jack Schneider: http://haveyouheardblog.com/
And Past Present regularly features education-related topics: http://www.pastpresentpodcast.com/
An episode of "The British History Podcast" may be of some interest. The podcast is meant for a popular audience, and the host makes clear he is not a historian, but it is interesting and the topic relates to the history of education. The episode is "[King] Alfred’s Educational Reforms." The episode can be found here: https://goo.gl/GAvTiR As a warning, there are one or two bleeped-out curse words (or rather, I *assume* they are curse words, what with the bleeping and all).
This may also be of interest, though it is not technically a podcast. It is a series of 12 MIT lectures, which you can download in audio/video format to a mobile device. It is MIT's course on the History of MIT (Spring 2016), and it can be found here: https://goo.gl/5VXZvV
Another one-off podcast episode of possible interest to Historians of Education:
"Jane Hamlett (Royal Holloway University of London) talks about Victorian boarding schools" in BBC's History Extra podcast: https://goo.gl/A2tnCq
More information on Dr. Hamlett, (author, "At Home in the Institution: Material Life in Asylums, Lodging Houses and Schools in Victorian and Edwardian England" Palgrave Macmillan,2014) here : goo.gl/R7YAaa
Two more one-off History of Education related podcast episodes of possible interest:
Lord Patten, Chancellor of Oxford University, "What is the point of universities?":
15 Minute History (UT Austin), Episode 99: The 40 Acres During World War I (University of Texas during WW1):
If H-Education subscribers know of other podcasts (or podcast episodes) relating to History of Education, please post them or send us an email ( firstname.lastname@example.org ).
Another one-off podcast episode about History of Higher Education. It is titled "First Woman's College Diploma, 1840." This short and somewhat informal episode is part of a series called "Documents that changed the world," hosted by the iSchool at University of Washington. Link here: