TMP wasn't really an adaptation like "The Fugitive" or "Mission: Impossible" though. It was a feature film continuation of the pre-existing TV show with the same cast.
Well, I'm pretty sure there was a point in the process where the studio considered recasting the TOS characters with bigger names.
And the only reason Jim Phelps was recast in the M:I movie was because of De Palma's ill-conceived decision to make him a traitor. They approached Peter Graves for the role, but he turned them down. So the original intent was to make it a direct sequel, not a reimagining.