The Royal Borough of Greenwich has over fifty parks and open spaces within its boundaries. They include:
Abbey Wood Park
Avery Hill Park
Birchmere Park
Bostall Heath and Woods
Blackheath
Charlton Park
Eaglesfield Park
East Greenwich Pleasaunce
Eltham Common
Eltham Park north & south
Falconwood Field
Fairy Hill
Greenwich Park
Horn Park
Kidbrooke Green Park
Maribor Park, formerly Royal Arsenal Gardens
Maryon Park in Charlton
Maryon Wilson Park in Charlton
Oxleas Wood and adjoining Oxleas Meadow, Castle Wood, Jack Wood and Shepherdleas Wood
Plumstead Common and the adjoining Winn's Common
Plumstead Gardens
Queenscroft Park
Ridgeway
Shooters Hill
Shrewsbury Barrow
Shrewsbury Park, Woolwich-Plumstead
St Mary's Garden, Woolwich
Sutcliffe Park
The Tarn
Well Hall Pleasaunce
Wellington Park, Royal Arsenal, Woolwich
Woolwich Common which includes Repository Woods
The Green Chain, a linked series of linear and circular walks, include some of those open spaces within Greenwich. The Chain originates at three points along the River Thames and stretches to Crystal Palace Park. From Wikipedia