I recently came across this selection of superb photos, all with a great retro effect. How can I achieve this effect in Lightroom?
In general: warm up the white balance, massively reduce contrast, reduce colour saturation. Don't forget to shoot absolutely everything with a fast prime, wide open...
In this particular set a lot of fill light and or clarity has been used in some of the images to enhance textures, not strictly necessary and a little bit over done in my opinion.
In addition to what others already told you add a radial filter (since LR5) and reduce the clarity and the sharpness. You might have to repeat this multiple times depending how strong you want the effect to be.
Then add a post-crop vignetting. You could also do this by reducing the exposure with the radial filter, however I prefer to do this in a separate step using the vignetting setting.