According to Google, they have already gone through over a million requests for a "Right to be Forgotten". They launched this service in Europe on May 29, 2014 since the European law requires search engines to remove search results upon users' request. But not all requests may be approved, since Google laid down some criteria to be considered qualified for the service. Generally, link removals are not granted to people who want to delete links related to criminal convictions, sex crimes, and child pornography. But if the request is for people who happened to be the victims and not the suspects, the requests would be granted. They also give request grants to those who have overturned convictions.
Among the million plus requests that Google received, they have already removed about 40% of them from their search engine results. The most requests came from France, followed by Germany, and then Great Britain. However, the "Right to be Forgotten" action has its restrictions. It only removes the links from the search results but the websites that contained their records will remain online. Also, the search results are only removed in the local versions of Google. For example in Germany, you can only remove the links from Google Germany's results. But that limitation could also change in the future if regulators find a way to do this.
As of now, the "Right to be Forgotten" option is only available in Europe. It's unfortunate that other countries do not have this option yet. Although, it is not impossible that this service will be available in more countries in the future. If each country can file a request and follow required procedures, they might also end up having this service.
The US also aims to get this service. In fact, Consumer Watchdog filed a complaint to the FTC to explain that Google was unfair to not offer this "Right to be Forgotten" option in the US. Google on the other hand, remained silent about this complaint.