osu!record allows you to upload a tiny (usually under 50KB) osu! replay file, which will be automatically recorded and converted server-side, then uploaded to your Youtube channel - all in the space of 5-10 minutes.
Unfortunately osu!record has been discontinued due to increased running costs, difficulty keeping up with osu! Linux compatibility issues, and a major change to the YouTube API as of 10 Feb 2017.
It leaves behind a legacy of 35,000 active videos and a further 77,000 deleted/private videos, from over 4 years of operation.
rip 12/2012 - 02/2017