Greenwich RFC (the oldest club in Plumstead) was formed in 1986 from Bloomfield and Lewisham RFC.  It later incorporated STC RFC.

Greenwich RFC play on Plumstead Common, the original ground of Arsenal FC.

Competition history includes:

• 1989-1990 Powergen Junior Vase
• 1998-1999 Kent Division 3 Champions (Capt. T. Murphy)
• 1998-1999 Shepherd Neame Kent Plate semi-finalist (Capt. T. Murphy)
• 2000-2001 Shepherd Neame Kent Plate semi-finalist (Capt. T. Murphy)
• 2005-2006 St Georges Day 7's Plate Winners (Capt. W. Long)