Yesterday I got an email from one of the founders of the Universal Human Rights Initiative (UHRI), a project to record native speakers reading all 500+ translations of the Universal Declaration of Human Rights (UDHR).
One aim of the project is to make the UDHR more accessible, especially to people who are illiterate or visually impaired. They already recordings of the UDHR in over 85 languages
You can see the translations and hear the recordings on their web app. You can also submit recordings.
This site could also be useful to language learners, as it provides texts and recordings in many different languages. You can read and listen to the texts on the UHRI site, with parallel texts in other languages on this site.