I've been trying to figure out how to solve the quota problem for a while -- if you don't remember it's because the amount of people using the website is overloading my personal API key for YouTube. The way to fix this is by getting your own API key.
Here's a simple step-by-step guide for getting your own key:
1. Go to https://console.developers.google.com/ and create a new project
2. Click "Enable API & Services"
3. Select YouTube Data API v3
4. Click Enable
5. Click Create Credentials
7. It will show you an API key. Copy that key and save it somewhere, and paste it into the box on the Search page.
If you followed these steps correctly, you should be able to watch as many videos as possible without ever receiving the Quota problem again.