I recently proposed a new connection 'Music Academies' and found many in nominated area in Europe (Germany, Austria, Poland, Hungary, Czech Rep, Italy, UK). I would like to ask you to complete my work. Many nominated cities have music academies, but you need to check if they are in the nominated area or not (Brussels, Lviv, Paris, Lyons, Istanbul, Cairo, Tel Aviv, Jerusalem and Bern aren't). If you find it interesting I would suggest checking in St Petersburg, Salamanca, Toledo and other Spanish cities, Quebec, Lima, Riga, Vilnius, Tallinn, Porto (Portugal). They all have their own music academies.
The same can be carried out for unis (I did some of it myself).
You could also propose Art Academies by the way, if you feel like keep looking around.

I think we have to watch that we don't grind "too small" on the types of buildings/institutions inside WHS for which we identify "Connections". I am not saying we have got there with Music Academies -I just don't really know enough and am happy to take Assif's knowldege/judgement - but Universities?. It is a bit like Museums really - we need to ensure that the subjects which are identified AND the occurrences within them have some particular merit - as buildings and/or historic institutions. In UK, at least, almost every institution of tertiary education aspires to the title (and status such as it is!) of "University" now and seems to get it. My prejudices might be showing but to me the name now indicates nothing really special - nearly every medium sized town in UK has or will have one and, I suspect Europe etc is very similar. it would be a bit like identifying WHS containing Post offices ......Hotels ............. Public toilets.......................?
"Connections" need to relate to something which is significant/worthwhile or, for "trivia", unusual/surprising/not "well known"!

But if you are going to keep universities in then in UK alone you had better add
Durham, Edinburgh and Greenwich universities which all have at least parts of their campuses within inscribed areas!

I think we could limit ourselves to 1) the main campuses/ buildings only 2) to major unis (not taking into account smaller, newer, less significant ones).

I think I will have to be with Solivagant on this one, it may just be a British thing but I would say nearly every city here has at least one university, and judging which are important is a pretty tough thing to do.
Solivagant has picked out the major ones there, but Liverpool has at least three. Bath has two even Westminster has one (though it may be excluded as it is not part of the inscription).
I am not sure if other countries will have such a glut of universities but it may make this connection a little tricky.

If we are carrying on then the Groot Begijnhoof in Leuven is an important part of the central campus of KUL a well respected insitution.

The trouble is that MY university is a major one - yours may not be of course!! Actually i was surprised to discover that, as far as I could see, only the 3 I identified had major buildings inside the inscribed area. Westminster certainly doesn't and the Liverpool/Bath campuses didn't seem to.
Regarding the 3 which definitely ARE within the area then Edinburgh and Durham are both reasonably "prestigious" and, whilst Greenwich is new, the buildings it occupies at Greenwich (inherited from earlier educational institutions) are of course magnificent and world class!! (I am not sure I can claim the same for the institution itself!)

In most of Europe state unis are the more prestigious ones and there aren't too many of them. In addition, as many of them are relatively new they are not usually located in the historic inscribed areas. All in all, I don't think making this connection feasible should pose a serious problem.

The concept of "State Unis" isn't one (thank goodness) I recognise in UK (and not in the US either - we are so similar in so many ways!). All unis here are (were!) supposed to be independent organisations separate from State interference and that used to be one of their great strengths - though it has been severely compomised in recent years. Institutions like Oxford/Cambridge colleges in particular have always jealously guarded that status but recently have been forced to succomb to a variety of politically correct policies (in the "service of the State" rather than in service of academic excellence, education, research etc etc). I guess the way forward is to clarify the rules by requiring the institution to be a historic one or one located in a historic or iconic building.
Edinburgh is certainly the former with a very long and distinguished history, Durham is the 6th oldest in the UK and is located in the Castle, part of Greenwich Uni grew out of the Royal Naval College and occupies a significant part of the buildings within the site.
I guess the same caveats should apply to all other insitiutions we are "connecting" -Museums, Music/Art Academies etc etc.
I allow Iconic New buildings to cover the situation such as eg if Bilbao were inscribed (ie more than Vizcaya) I guess we would highlight the Guggenheim as a connected building even if it were not specifically mentioned (an unlikely scenario anyway). The only Historic site I know of with a NEW building included is the mosque in the Kazan Kremlin and, to my eyes at least that was not very "Iconic" - though it may well be to Tatarstan muslims!!

Concerning the discussion above:
Universities and Music Academies are the last ones of these groups of buildings that I will add, including Solivagant's rule requiring the institution to be a historic one or one located in a historic or iconic building.
So please don't suggest kindergartens or art academies. Reason for that is that they link the same WHS (those with a large historical center) over and over again.

Furthermore, I plan to reject "Conservatorio di Matera". If it indeed is located in one of the Sassi, please show some proof.

I guess Els is right about Conservatorio Duni in Matera. It stands in Piazza Sedile but I don't know if lies within the region of the sassi. Judge it yourself: http://www.sassidimatera.it/english/visitarematera.htm