Why not cycle in that crazy city? Scooters everywhere, incredible amount of cars and buses on those streets, make riding in this city quite intimidating. People are polite and well behaved, if you pay attention to your surrounding you will be fine, scared but fine!
The riding is actually awesome when you escape the city center and just ride on quiet, well maintained bike paths that run along every river surrounding and crossing Taipei. Not sure how many kilometres of paths there are, but there is enough for more then a day of riding.