Salaam,
He is also one one favourite Qari's, more like my most favourite. But no he doesnt have the whole Quran recoreded. My sister has a CD of his and it only has 70 Surah's. They are all from different times as his voice differs in each Surah. The most recent ones would be the ones from the recent years Ramadhan as he, as you might know, leads the Prayer in Ramadhan in the Kuwait mosque. If I'm not mistaken, I think him and Mishary lead the prayer in the same mosque. I was just trying to look up a link for you to hear his Surah Yusuf, because I have it on that CD and its beaustiful, but I cant find it on the net.
Assalamulaikum