John Beck, Chad Henne, and Chad Pennington.
They also picked up Pat White in this years draft who will probably be seeing playing time in the wildcat formation this year.
Miami Dolphins-Pat White - http://linksleeve.com/jk.cgi?i=0PJei7x&d=http%3A%2F%2Fwww.miamidolphins.com%2Fnewsite%2Fnews%2Ftop_story.asp%3FcontentID%3D6480&n=30
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There have been 16 started for the Miami Dolphins since Marino retired. They are as follows (In no particular order):
Damon Huard
Jay Feidler
Gus Frerotte
Cleo Lemon
Ray Lucas
Trent Green
Daunte Culpepper
Chad Pennington
Chad Henne
Sage Rosenfels
AJ Feely
Joey Harrington
Brian Greise
John Beck
Matt Moore
Tyler Thigpen
If your question is, who was the first QB immediately after Marino retired, the answer would be Jay Feidler
The current starter for the Miami Dolphins is Chad Henne. His backups are Pat White, Tyler Thigpen, and Chad Pennington.