I've been looking for one, but can't find it. I'd like to pray Morning and Evening Prayer with an audio version of the 1662 BCP,
BBC Radio 3 broadcasts Evensong services (Evening Prayer sung by a choir) each Wednesday at 3pm UK time. They store them on their website for some period of time so you can easily access to them whenever you want. Here you are the link: http://www.bbc.co.uk/programmes/b071d1gp Moreover, there's a channel on Youtube called "Collegium Regale". You can find there some older recordings of those Evensong services. https://www.youtube.com/user/collegiumregale
Here are some recordings from the Chapel of King's College. I'm pretty sure they're using the 1662. Either way, they sound absolutely wonderful.