If you want to consider May and Seaver part of the Big Red Machine era (and count me as one even though neither were on a WS championship squad) that era now has:
Jack Billingham
Gary Nolan
Tom Seaver
Don Gullett
Clay Carroll
Wayne Granger
Johnny Bench
Tony Perez
Lee May
Tommy Helms
Joe Morgan
Dave Concepcion
Ken Griffey
George Foster
Sparky Anderson
and Bob Howsam
16 guys, 6 pitchers, your all-time legends at 2nd and behind the plate, a HOF 1Bman, a pretty darn good short stop, couple of good OFers and two guys who were traded for the "final piece"
Hmmm... I understand Peter Edward (though, isn't the Reds HOF technically independant of the BBWAA (the actual culprits that are keeping Rose out) and MLB?), but where is Cesar Geronimo (eh, just think the entire Big 8 should be in)? Or Will McEnaney and Rawly Eastwick?