http://www.flixcloud.com/ if you want some on-demand services with an API. They will process on put on your server/S3.
Fliggo looks really nice without my knowing anything about how it's funded.
I'm sorry if you feel this is "wankery"; I just prefer not to drop naked links.
If it had been something a bit more informative (if you'd mentioned YC along with some other stuff), then you're fleshing out the link, but if the only detail you're mentioning is YC you're not offering much. There are a lot of YCombinator companies I love, and there are a handful that I think are dreadful, and so being told it's a YC company doesn't guarantee me of anything other than that you'll be voted higher.
I'm sorry if the term "wankery" offended you - I use that as a lighthearted jab. Didn't mean to sound cruel when I said that.
We've taken a look at Viddler's API, and while it's possible to record, it requires a Viddler account to record. There could be a big communal Ramamaia Viddler account, but then the videos have to be completely public and visible on Ramamia's Viddler page, which is undesirable.
Then again, last time I looked at it was a few months ago. Things may have changed.