Classic is quite different than New... it's more quaint, less showy. There's less running and explosions and no CGI. There's quite a bit available online, I think here has the best selection: http://www.dailymotion.com/playlists/user/tardismedia, although this is nice too
http://www.dailymotion.com/playlists/user/harrietamidala1691/1

I really like Two's serials (not many survive, unfortunately) and just think there's a nice quality to the black and white ones in general.

Ugh, sorry your library isn't any good, that's so disappointing!