Hilperton Marina Oil, bottles, batteries, cans, cardboard. Canalside Moor at the Marina.

Also recycling centre on Canal Rd. 1/4 mile from Marina.

Birdingbury Wharf 

New Re-Cycling Centre a few hundred yards down the A426 towards Southam, from the Boat Inn at Birdingbury Wharf (just above Stocktom Locks) on the Northern G.U.

Hilperton

West Wiltshire Re-Cyling Centre on Canal Road 1/4 mile from Hilperton Marina on the K&A. 

Reading

If you walk down the road south of Fobney Lock (Reading end of K&A) you will very quickly come to the main Reading recycling center, however the last time I was there it was mandatory to come by car - pedestrians are specifically excluded - so not much use.
They have just opened a plush new undercover facility on the same site, but I bet its still cars only.