Like most Edinburgh citizens I don't even notice the statues particularly. They're part of the street scene. A Malaysian flatmate asked me about the funny writing on a statue in Shandwick Place and I had to go and look at it and saw it was Gladstone and Greek. In most cases statues lose their meaning over time. It's usually violent political upheavals that pull them down eg the fall of Communism in Eastern Europe. There's a terrific museum of Communist sculpture at the edge of Budapest.
The noticeable statues are the new ones, like the Polish bear in Princes Street gardens - a very good choice, as children like being photographed sitting on it.
The worst placed statue is the one of Alan Breck and David Balfour on Corstorphine Road, which is mostly seen from buses and cars - and let's hope cycles in the future.
For more literary characters, we could have a sculpture of RentBoy and his chums from Trainspotting running along Princes Street.
The finest, in my opinion, is the World War I relief at the west end of Princes Street gardens.
@AKen - indeed. I can't say I'd ever heard of the guy.