Steve Lombardi mentions the only Yankees to play in 162 games in a season. They were:

Righties:
Bobby Richardson in 1961
Roberto Kelly in 1990
Alex Rodriguez in 2005

Lefties:
Chris Chambliss in 1978
Don Mattingly in 1986
Hideki Matsui in 2003 (163), 2004 and 2005.

Only 6 guys (8 times). Considering how long the Yankees have been around, that seems like a low number to me.