I became a Fan in 1975, and I collect games on DVD; I have over 200 Dolphins games and have seen them all(some repeatedly), so I feel pretty well educated on this. As far as a coach goes, he's clearly in the debate for the greatest ever, with Walsh, Paul Brown, Halas, Lombardi. The running back issue has already been addressed, but something I'd like to point out- Shula's defenses rocked when Bill Arnsparger was with him- the glory years 1971-1974, then again 1977-1983. Now, compare those eras(5 Super Bowl appearances) with the non-Arnsparger years. 1976, 1988 no Arnsparger, only losing seasons. Shula did pretty well rebuilding the team for runs 1990-1995, but he had fallen behind Buffalo, Dallas and San Fran, and Shula's drafting skill towards the end was not good enough to catch up. Shula had many great players that he drafted, or else he would not have the success he had. But the lack of a top-tier personnel guy towards the end kept him from really competing for the big one in the end. In 1992 they were close, if you consider getting destroyed in the AFC championship game to a team that would ultimately lose 59-17 in the Super Bowl close.
Also, I still wonder what would have happened in 1993 had we not lost Marino to the Achilles, Troy Vincent to a knee, and pretty much half our defense in the last 5 games. For those who are old enough, we were a seriously tough team that year, 9-2 after 11 games, but injuries beat us down and we collapsed at the end.
Oh well. Ancient history.