This isn't necessarily a question for this subreddit, as answers are likely to refer to initiatives that currently exist, or which started within the last 20 years, the cutoff point for this and /r/history.

This is a topic perhaps closer to the interests of /r/collapse than to most other boards - although as you appear to be interested in a dispassionate factual answer rather than opinion, I assume from your choice to post here - a subreddit that includes posters with a wide variety of professional and academic backgrounds such as /r/AskReddit may be helpful too, and could provide a variety of answers about schemes in existence.

One of the most official, i.e. intergovernmental, projects of a similar type is the Global Seed Vault, although that is for plant seeds. Recent problems it experienced with flooding indicate the way that contemporary decision-making may not make provision for all future conditions that may befall such efforts, and the potential for natural forces to wear away at technological preservation solutions. Similarly, the optimal air conditions created in museums to preserve items would not last indefinitely without maintenance.

Libraries of deposit (where copies of all of a nation's published books are stored) have existed in several European countries since the 18th century. You can see when some of these were established on the Wikipedia article "Legal deposit." These collections tacitly exist on the principle that a similar civilisation will be ongoing, however, an assumption which is central to the way that much of contemporary society in general operates.

It appears that collections of knowledge created under the assumption that contemporary industrial civilisation may collapse are currently a small-scale private sector affair - or they exist for other reasons. Individuals active in online collapse-orientated communities sometimes post that they are seeking to preserve particular texts of literature and/or non-fiction. Comments on the blog the Archdruid Report mentioned this from time to time. CD3WD is a digitised - and printable - collection of texts on practical skills, such as building, agriculture and medical care, established for sustainable development purposes, and which has been adopted by some in collapse-orientated circles. The Long Now Foundation , a think tank, appears to be doing something for knowledge preservation on a slightly larger scale, and with reference to culture more than survival skills - however, it is unclear what they are doing to preserve and make works accessible for a scenario where electricity and computer technology became unavailable and where there was widespread disintegration and disorganisation in society. There are also, of course, lots of small "time capsules" in sealed bottles and boxes, buried in the grounds of schools, gardens and parks, created when this was a fashionable exercise for children in the second half of the 20th century in the West.