This Greasemonkey script will lift all the Questions you answered on OKCupid so you can take them with you. OKCupid questions downloader. It puts them into JSON format which you should be able to convert into other, more readable formats.
I don’t have any good way of copying the other data, messages and photos and such. But that greasemonkey script is a good start.
I’m mostly giving up on OKCupid. I’ve been at it a while and I keep finding people that say, “You’re really great but I just realized I’m not available.” Some literally already had one-way plane tickets to India or New York before we met, some don’t know if they want to date at all. I’m a bit bitter.