If you like that site, take a look at this one:
The tabs here are in Tabledit format, which is a superior tablature format in my opinion.
Unfortunately, some of the really nice sections are shut down, but there are still enough classical pieces there to keep you busy for quite a while I would think.
And as long as we are at this, here is another one of my favorite tablature sites:
This is mostly not classical pieces, but all fingerstyle.
There are also some great flamenco guitar tablature sites. There is one I like but can't remember offhand. Do a google search for "flamenco guitar tef" (don't use the quotes) and you will get lots.
(tef is the file format for TableEdit)
At the rate that I learn new pieces, there is are several lifetimes worth of guitar pieces on these sites!