Is there a database or a classification of High-temperature superconductors? I was wondering if there exists a list with all (or most of) the High-$T_c$ superconductor materials.
In particular I'd like to know if there are databases or review that classifies them by their electronic/doping  structure or some other different classification method. Up to know, I only found some short list with temperature based classification.
Does exist something like the Mendeleev's table for superconductors?
How many of these material have been discovered so far? (the order of magnitude would be good enough)
 A: In the summer I was looking for a kind of list like you are searching for.
The previous commenters mentioned the hard to repeat nature of these papers.
I give you links which were pretty useful for me, but keep in mind that the exact crystalline structure, the exact proportion of elements, pressure and many oter parameters can have large effects on the superconductivity.
At first, some wikipedia links, which I found useful:
https://en.wikipedia.org/wiki/Iron-based_superconductor ; https://en.wikipedia.org/wiki/Cuprate_superconductor ;
https://en.wikipedia.org/wiki/Category:High-temperature_superconductors ;
https://en.wikipedia.org/wiki/Metallic_hydrogen ; 
https://en.wikipedia.org/wiki/Magnesium_diboride ; 
https://en.wikipedia.org/wiki/Hydrogen_sulfide .
This link has a pretty good table in it with $T_{c}$ crystal structure and lattice constants:
https://aqpl.mc2.chalmers.se/~delsing/Superconductivity/Lectures_files/HTS%202016%20Lecture%201.pdf
 As I know the order of magnitude of the number of discovered High-$T_{c}$ superconductors is in hundreds but not thousands.I hope my answer is going to be useful. :)
