Limiting this to just the 21st Century my Sox Mount Rushmore of Infamy
Tony LaRussa
Mike Clevinger
Pedro Grifol
JR
There are several others that are close, Billy Botch, Kimbrel, Vaughn, TA, Vizquel, some will have Luery the Legend, the list goes on forever and the party never ends. I'm certain I'm forgetting a few names.
I almost left JR off the rock face solely based on 2005. Limiting to just the 21st Century conveniently allowed me to dismiss TLR part 1 which I was a big fan of.