You can see your new subscribed videos without logging on by clicking the "Subscriptions" tab on your user page. http://toogl.es/#/user/<yourusername>/subscriptions

I know this currently isn't discoverable and I'm working on that (and it's also funky because it's on every user page, not just your own, but I'm trying to avoid logins), but feel free to try it out and let me know if it does what you're after.

Huh, neat. However, I use a google+ account to log in, so I'm not sure what my "username" is exactly.

EDIT: Found it! http://toogl.es/#/user/E8OXL41NDk4aZkvxSbJolg/subscriptions but there's nothing there

> but there's nothing there

Do you have anything on https://www.youtube.com/my_subscriptions (i.e., new subscription videos)? It just displays the "new" ones, not all of them, due to a limitation in the YouTube gdata API.