A ride along the Lee valley to Ware, can provide a good day out from Newham.
The Lee Valley park provides an great almost entirely off road route to Ware, miles outside London, this route can be tackled at a gentle pace avoiding the hills, or more ambitious cyclists can pick a hilly route.
Trains are available from many stations close to the route, so this route can be done in parts to suit even the least experienced cyclist.
Beyond Ware it is possible to get to Hertford while still off road.