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National libraries
Biblioteca Nacional de España Biblioteca Valenciana
Biblioteca de Catalunya The Library of Congress
The British Library Bibliothèque Nationale de France
Die Deutsche Bibliothek Biblioteca Nazionale Braidense (Milan)
Biblioteca Nazionale Centrale di Firenze Biblioteca Nazionale Centrale di Roma
Biblioteca Nacional (Portugal) Koninklijke Bibliotheek (Netherlands)
Österreichische Nationalbibliothek Vatican library
National Library of Russia  
The European Library The European Library is a service of the Conference of European National Librarians (CENL) that aims to provide an integrated access to the collections of the European National Libraries through a multilingual portal. It is a gateway for accessing the digital collections of the most important European National Libraries. 
University libraries
Bancroft Library - University of California, Berkeley The Bancroft Library houses a large part of the University of California's historical collection. It is one of the libraries with the largest collection of manuscripts, rare books and unique materials in the United States. It has 50,000,000 manuscript items -which include a collection of Catalonian manuscripts-, 2,800,000 photographs and pictorial materials, 43,000 microforms, 23,000 maps, etc.
Bancroft Library Incunabula The collection of incunabula at the Bancroft Library comprises more than 400 titles printed before 1501. It includes books about philosophy, theology, science, mathematics, history, poetry and law.
Bancroft Library Catalonian Manuscripts The collection of Catalonian manuscripts, it also includes a miscellany of legal documents, donations, sales...It is a digital collection.
Beinecke Rare Book and Manuscript Library The Beinecke Rare Book & Manuscript Library is one of the world's largest libraries devoted entirely to rare books and manuscripts and is Yale's principal repository for literary archives, early manuscripts, and rare books. The Beinecke Library's robust collections are used to create new scholarship by researchers from around the world.
University of Granada Search the historical collection catalogue.
University of Oviedo Search the historical collection catalogue.
University of Sevilla Search several catalogues, one of them includes entries with materials from the 15th to the 18th centuries. 
University of Valladolid Search the historical collection catalogue.
University of Zaragoza  
University of Barcelona  
Other libraries
Bayerische Staatsbibliothek The Bavarian State Library has one of the most important manuscript collections in the world. 
Bibliotheca Alexandrina The New Library of Alexandria, the New Bibliotheca Alexandrina is dedicated to recapture the spirit of openness and scholarship of the original Bibliotheca Alexandrina. It is much more than a library. It is estimated that the number of books can reach twenty million although initially has about 200.000; most of them are donations. There are some 50.000 maps, 10.000 manuscripts, 50.000 rare books and also examples of the modern world, with some 10.000 audio multimedia files and 50.000 visuals.
Biblioteca Apostólica Vaticana The Vatican Apostolic Library is located in Vatican City. It is called "apostolic", because it is considered the "Pope's Library". It is one of the oldest libraries in the world (1448) and holds a very important collection of historical texts.
Biblioteca del Ateneo Mercantil de Valencia It gives information about the library and the collection. Although you can't access the catalogue, there is a list of the most notable works from the 15th, 16th, 17th and 18th centuries, and of manuscripts.
Biblioteca de la Real Academia Española Access to the general catalogue and to the catalogues of prints and drawings from the Rodríguez-Moñino bequest. 
Biblioteca de Sant Joan de Rivera. Col·legi Seminari del Corpus Christi. El Patriarca It only gives information about the collection. You can't access the catalogue.
Biblioteca Diocesana de Mallorca The Biblioteca Diocesana de Mallorca houses most of the diocese's bibliographic heritage. It consists of the holdings of the following Majorcan church institutions: Centro de Estudios Teológicos de Mallorca; Colegio de la Sapiencia; Museo Diocesano; Seminario de Mallorca; Biblioteca Episcopal; Archivo de la Curia Diocesana; Museo de ciencias del Seminario de Mallorca; Museo bíblico del Seminario de Mallorca; Donaciones particulares. The Library's bibliographic collection is included in the public access catalogue of the University of the Balearic Islands, in which you can also search the bibliographic collections of the University and other Balearic associated libraries.
Herzog August Bibliothek Wolfenbuttel  
New York Public Library Access to the catalogues, digitised collections, electronic resources, etc. 
Real Biblioteca del Monasterio de San Lorenzo de El Escorial You can search the online catalogue, which includes part of the large collection present in the royal library. You can also consult the pdf catalogues of the manuscritos Arabic, Spanish, Greek, Latin and Hebrew manuscripts, as well as three inventories of the Documents Archive, the Music Archive catalogue, the Collection of Relics and the catalogue of Chinese books.
The Morgan Library & Museum In 1924 J. P. Morgan, Jr. gave his father's extraordinary library to the public. The most influential financier in this country's history, Pierpont Morgan was also a voracious collector. He bought on an astonishing scale, collecting art objects in virtually every medium, including the rare books, manuscripts, drawings, prints, and ancient artifacts that are the core of The Morgan Library & Museum's holdings.