I would go for Zenodo, which is backed & funded by CERN and the European Union: http://zenodo.org/

I personally did not deposit any data there but MorphoSource (www.morphosource.org) comes to my mind. Backed and founded by Duke University and 3 NSF grants.

I like figshare - a good choice for longevity, it covers all areas of academic research and everything is DOI minted: https://figshare.com/

Really I appreciate your idea related with data sharing because is imposibly to think in research reproducibility without data, also I'm in accordance with the second reason that you expose related with digital preservation, it's very important trust in experts the preservation aspects of digital files. Finally I always think in term of institutional repository to share the research papers and associated data, so my suggest is select the institutional university repository, if your institution haven't just think in external repositories. I hope had understood your question. 

A good place to find the best repository for your data is Scientific Data's list of recommended repositories:

http://www.nature.com/sdata/data-policies/repositories

They list many repositories (covering multiple subject areas), which they have vetted for longevity, robustness and DOI minting, among other things.

There are many to choose from: re3data.org lists 53 results for Paleontology: http://service.re3data.org/search?query=palaeontology

Zenodo.org is always a good fallback.

I like E-LIS the thematic repository for Library and Information Science.

Sorry, it could be I lost part of the conversation but, I´m thinking in data repositories or institutional repositories with inclusion of datasets. I think E-LIS like a repositorry specially for papers and documents. 

Yes. you are right

Take a look on : http://www.re3data.org 

I came across this thread by accident looking for something else but thought i could add this web page:

http://www.digimorph.org/

Good afternoon! To take a look of digital Open access repositories, a good practice is to access to the internacional registros: opendoar or roar. There you can select a criteria to list the repositories, for example the total content in ascendent or descendent arrange. You can also select repositories by materia or área, fir example if you like humanities you can take a look to HAL Repository, for económica REPEC, Arxiv for physics, matemátics, astronomy ...I recommend to take a look to our Open access digital Repository SEDICI: http://Sedici.unlp.edu.ar

Select the search word and download what you want, but the most is in spanidh! 

I hope the information be useful. 

The best!

arXiv, Prof. Oliver Wings although I want to try HAL as well.

Best Regards.