Below are a few examples of some 1960s design items I found on the V&A collection online. You can narrow your search so you look specifically for items made from 1960-1969 as well as narrowing the place of origin, all the items below were made in the UK.
This Furnishing Fabric was designed by Eddie Squires and produced by Warner & Sons in 1969 to celebrate the Apollo 11 Moon Landing! Can you imagine furnishing your home with this? Perhaps a pair of curtains or a set of pillows!
In 1926 modernist designer Marcel Breuer predicted that in the future it would be possible to sit on air and this transparent Contour Chair by David Colwell almost makes it possible! Lots of 1960s furniture was made from plastic as it was seen as futuristic and fitted in with the space-age interior trends of the time.
Lego a popular children's toy back in the 1960s - and it's still popular today!
In 1967 The Beatles released the album Sgt. Pepper's Lonely Heart Club and the album sleeve is probably one of the most famous of all time.
The campaign for nuclear disarmament (CMD) was a big political movement during the 60s. This poster entitled 'Stop Nuclear Suicide' was deemed so politically controversial that it was banned by London Transport. The CMD used these posters to advertise it's protests marches and demonstrations.