Torcello.
Exquisite, peaceful filled with a decayed yet glorious Byzantine presence of which the mosaics remain a powerful testimony.
The little bridge is called Ponte del Diavolo, Devil's bridge.
Some links for Torcello:
Brief history
Torcello near Venice
Traveling there
TORCELLO IL MILLENIO
must see (Italian version but full of spectacular photos)
Now, a little valuable tip for those wishing to go to Venice on a budget, at least accommodation wise. Once I stayed a little hotel called Riva, nothing extravagant but absolutely stylish, clean and excellent value for money. In fact I fell in love with it for many reasons one of which is that while you are having breakfast downstairs, you are just a breath away from a small canal that flanks one side of the hotel. The staircase if I remember correctly is rather narrow but ..who cares? I think it has undergone renovations recently and I trust the atmosphere has not changed.