I'll have to do a quick count...
34 I think.
I may be selling some I bought earlier (just to test my set-up) though.
To be honest there's not that many blu titles I'm really interested in for now.
I hope this will improve over time.
I also rarely buy "new movies" and I'm still region locked for now.
Btw purposely watching older and newer films on major and indie blu-rays also helped me get a clue on what I can expect from the medium.