In 1980, in the 8th round, Don Shula drafted QB David Woodley who’d go on to be the youngest QB to start a Super Bowl a few seasons later.
In the 3rd round that same year DE Bill Barnett was taken out of Nebraska. Bill played 77 games for the club mostly in a reserve role.
In 1981, the Dolphins had a bit more success in the later rounds, selecting the Jack of all trades, Jim Jensen in round 11. Jensen played 164 games.
CB William Judson was taken in the 8th round that same season.