I agree, for the first two sentences the meaning is "to delay/defer"... like Eliot's example of storing meat on ice to use it later. The report, or the invention, will stay almost "as fresh" when they come back to it later.
Sentence #3 is the confusing one: it means literally on ice, ie. an ice-skating rink. So a career on ice is ice hockey, or maybe performing as an ice-skater.
With this meaning, "Cinderella On Ice" means that the story of Cinderella will be performed by ice-skaters... not that Cinderella has been placed on ice to preserve the body. :P