The Hubble Space Telescope has been delivering us images from deep into space for years. It's soon to be successor, the James Webb Space Telescope (JWST), will be launched "later in the decade". The length of time required for testing is very important. The Hubble launched with flawed mirror technology that led to several expensive fixes while in orbit.
An example of NASA technology influencing things that we may use in our everyday life is below. From NASA:
For example, the optical measuring technology developed for the Webb, called "wavefront sensing" has been applied to eye health and has allowed improvements in measurement of human eyes, diagnosis of ocular diseases and potentially improved surgery.
The most powerful space telescope ever built, the Webb telescope will provide images of the first galaxies ever formed, and explore planets around distant stars. It is a joint project of NASA, the European Space Agency and the Canadian Space Agency.
Check out a video on the Webb telescope by astronomer Tony Darnell below. If you can't see the video, click here.
Source: NASA via @LaurenAlloyce