From some random Googling: Duke University does not claim any rights, unless more-than-normal assistance was given (
http://www.du.edu/intellectualproperty/iprop.html); Coventry does claim all rights (
http://wwwm.coventry.ac.uk/ipr/students/Pages/FAQstudents.as...); Waterloo does not (
http://secretariat.uwaterloo.ca/Policies/policy73.htm); Leeds does (
http://www.leeds.ac.uk/research/hbook/ipr3.htm); Glasgow does not (
http://www.gla.ac.uk/services/datamanagement/creatingyourdat...). Etc. My old university (Utrecht) did claim all rights. (Note that, where appropriate, I have considered
undergraduates; PhD students are typically staff, with the attendant work-for-hire provisions.)
Still, it seems that I should amend my statement to "Universities often have..."
(Note that this is based on a very quick skimming, and IANAL.)