You already got mine in the title.
Can't think of an onscreen VP, so I'll offer Eleanor Richmond from Neal Stephenson's and George Jewsbury's INTERFACE.
I'd also go for Joan Allen, as a VP hopeful in The Contender.
The Headless Body of Spiro Agnew
I'm still trying to find the film version of Irving Wallace's "The Man" staring James Earl Jones as Senator Douglass Dilman, President Pro Temporare, succeeds to the Presidency in 1974ish. Screenplay was by Rod Serling.
Yup.And the answer is Hoynes. For no other reason than his description of a hockey game.