Two generations of Morris men did the show
GrandFather
Greg Morris from "Mission Impossible"
Son of Greg Morris
Phil Morris's(Martian Manhunter)
Yes, Phil Morris appeared in the '88 revival as Grant Collier, the son of Barney Collier. Greg Morris returned as Barney in 2-3 episodes of the revival.
Originally, Phil Morris was cast to play Barney Collier for the
revival, which was initially conceived as a straight-forward remake. Same with the rest of the cast, i.e Thaao Penghlis as Rollin Hand and Terry Markwell as Cinnamon Carter. The only one from the original to be in this remake was Peter Graves as Jim Phelps.
In fact, the first handful of episodes, such as "The Legacy", were the same scripts from the 60s series but rewritten slightly. This was ABC's solution to get around the 1988 Writer's Guild Strike, much in the same way TNG used the Phase II script "The Child" for season two.
But the strike ended and it was decided that the series should be a sequel to the original. The first episode, "The Killer," a season 5 script from the 60s show, was rewritten to change the names and add Phelps coming out of retirement and helping former members of his team, such as Lisa Casey (Lynda Day George).
So Rollin Hand becomes Nicholas Black. Cinnamon becomes Casey Randall. Barney Collier becomes his son Grant. And so forth.
Source:
"The Complete Mission Impossible Dossier."
(which is an excellent book and includes some nice tidbits, including an interview with Robert Justman, who was the associate producer on the pilot.)
I remember when the first Tom Cruise remake came out. At the time I felt they missed the boat completely. They made the Jim Phelps character a traitor?

Then it's a lot of over-the-top action and overdone explosions. I didn't bother with any of the sequels.
The movies are nothing like one another. Despite the shared title and lead character (or two, Cruise and Rhames), each movie is very much characteristic of its own director's distinctive style. The first is a Brian DePalma spy thriller full of deceit and intrigue, the second is a John Woo spy thriller full of over-the-top action, and the third is a J.J. Abrams spy thriller that's basically
Alias, a mix of larger-than-life, sexy spy action and reasonably engaging character drama. So you can't really use any one of the films as a precedent for judging the others. M:I:III is definitely the best of the three (or rather, the only good one), and the most faithful by far to the original, though mostly in the first half.
While I enjoyed the first and third M:I movies, and secretly like the second, the movies really aren't M:I. A movie that is more akin to the original "Mission: Impossible" is the
2001 remake of "Ocean's Eleven", which was a big con much as the original "Mission" was conceived as.
In fact, the Clooney movie hits much the same beats as an episode of the 60s show. There's the mission (break into three vaults if you choose to accept it), dossier scene of sorts with the gathering of the operatives (or cons), the mission briefing (in the hotel room) where the plan is revealed, the methodical putting it together, then the actual mission which doesn't go according to plan and the team has to improvise.
It is very similar to the
pilot of "Mission: Impossible" when you think about it.