One or two years at university seems to short to get a Bachelor degree or something similar. E.g. German degrees before the Bologna-process took at least 4 years (8 or 9 semester to "Magister" or "Diplom"). In UK and most European Countries (after Bologna-process) a Bachelor takes 3 years to complete and a Master 4 or 5 years.
So this is the academic status of some royal houses:
(I'm not counting the military service, as i do not know if it is equivalent to a university degree)
Denmark:
Queen Margrethe: Next followed the years from 1960 to 1965, when HM The Queen studied at universities in Denmark and other European countries. After having passed the examination in philosophy at Copenhagen University in 1960, HM The Queen studied archaeology in the period 1960-1961 (Diploma in Prehistoric Archaeology) at University of Cambridge. Her Majesty, subsequently, studied political science at Aarhus University in the period 1961-1962, at the Sorbonne in 1963 and at the London School of Economics in 1965.
The Prince Consort studied law and political science at the Sorbonne, Paris while simultaneously studying Chinese and Vietnamese at École Nationale des Langues Orientales. Having studied Oriental languages in Hong Kong in 1957, Prince Henrik subsequently studied in Saigon in 1958.
Frederik. in 1995 the Crown Prince graduated with a MSc (political science) from University of Aarhus. In connection with these studies, Crown Prince Frederik spent a year studying political science at Harvard University, USA from 1992 to 1993.
Mary: Bachelor's degree in Commerce and Law (B Com. LLB).
Joachim: 1991-1993, Prince Joachim completed his studies in agrarian economics at the Classenske Agerbrugskole Næsgaard on the island of Falster.
Marie: The Princess has a Bachelor of Arts from Marymount Manhattan College, New York (1997-1999).
Alexandra: After having finalised general schooling, the Countess studied at Wirtschaftsuniversitat in Vienna from 1983-1984. In the years 1984-1986, the Countess was a student in Tokyo. In 1989-1990, the Countess studied in London.
Seems that only Frederik, Mary and Marie have a Bachelor or Master degree.
Norway:
Harald: Prince Harald entered the Norwegian Cavalry Officers’ Training School and went on to finish his military education at the Military Academy in 1959. Upon completion of his compulsory military service, the Crown Prince went to Oxford for further study. He attended Balliol College from 1960 to 1962, studying social science, history and economics.
Sonja: She received a diploma in dressmaking and tailoring at the Oslo Vocational School, and went on to receive a diploma from École Professionelle des Jeunes Filles in Lausanne, Switzerland. Her studies there included social science, accounting and fashion design. She returned to Norway for further studies and received an undergraduate degree (French, English and Art History) from the University of Oslo.
Haakon: in 1995 he graduated from the Royal Norwegian Naval Academy in Bergen. In autumn 1996 he moved to the USA to study at the University of California at Berkeley, and received his BA in political science in spring 1999. The following autumn the Crown Prince was a member of Norway’s third delegation to the UN General Assembly. In 2001 he followed the Foreign Ministry’s trainee programme for diplomats, and completed his education in 2003 at the London School of Economics and Political Science, where he was awarded an MA in development studies, specializing in international trade and Africa.
Mette-Marit: Followed lectures at the Faculty of Humanities at the University of Oslo.In autumn 2003 the Crown Princess studied at the School of Oriental and African Studies (SOAS) in London, and took examinations in the following courses: Development Experience, Theories of Development, HIV/AIDS and Development, and The Global Refugee Crisis. The Crown Princess spent three months as an observer at the Norwegian Agency for Development Cooperation (Norad), where she focused on HIV/AIDS issues.
Märtha Louise: She subsequently pursued a physiotherapy education programme at Oslo University College. After finishing the programme, the Princess completed her practical training in Maastricht, the Netherlands. In December 1997 she was awarded her formal qualification as a physiotherapist.
Ari Behn: He has a
bachelor's degree in history and religion from
University of Oslo. says Wikipedia
Ragnhild: not known, but most likely no further education
Astrid: She did some studies at Oxford from 1950 to 1952.
So Sonja, Haakon, Märtha Louise and Ari Behn have a university degree.
Sweden:
Carl Gustaf: No university degree, but some military activities.
Silvia: Between 1965 and 1969 she studied at the Munich School of Interpreting, majoring in Spanish. (which is not a university degree in Germany, but it might be equivalent to a Bachelor in the Uk system)
Victoria Bachelor of Arts in 2009 says Wikipedia.
Carl Philipp In May 2006, Prince Carl Philip completed a two-year full-time course in Graphic Design at Forsbergs School of Graphic Design in Stockholm.
Daniel studied at the Gymnastics Federation's Folk High School. He studied the youth recreation leader programme here from 1994-1996, focusing on sport.
Madeleine Princess Madeleine has been studying at the University of Stockholm since spring 2003. She has completed courses in Art History (60 credits), Ethnology (40 credits) and History (20 credits), as well as an introductory course in law (10 credits). Her art history essay (10 credits) focused on Queen Victoria of Sweden (1862-1930) and the establishment of Solliden Palace on the island of Öland. Princess Madeleine completed her degree at Stockholm University in January 2006.
In autumn 2006, the Princess returned to the University of Stockholm to pursue postgraduate studies in Organisation and Leadership, in order to extend her knowledge of international humanitarian work.
(So she seems to have a Bachelor of Arts and started some Master programm?!).
So Victoria and Madeleine seem to have a Bachelor of Arts.
UK:
Elizabeth: No degree
Philipp: Naval College in Dartmouth
Charles: Bachelor of Arts (1970) and Master of Arts in Cambridge (per honour?)
Camilla: O-Level
Diana: failed O-Level twice (says Wikipedia)
William: scottish master degree
Harry: Sandhurst
Anne: A-Level
Mark Phillips: captain
Timothy Laurence: Bachelor of Sciene (geography) at navy
Peter phillips: degree at University of Exeter (sports science)
Zara: physiotherapist specialising in Equine Physiotherapy (University of Exeter)
Andrew (York): naval college
Beatrice: BA in 2011 (history)
Eugenie: BA in 2013 (history of art, politics and English)
Fergie:Queen's Secretarial College
Edward: BA (history in Cambridge)
Sophie Wessex: secretary at West Kent College
So a bachelor or master degree for William, Charles, Edward, Peter and Zara. In future also Beatrice and Eugenie.