The streets of Taipei are absolutely chock-a-block with motor scooters. You’ll see hundreds (OK, perhaps 10s) sitting at every red light as you drive around and many have two or even three passengers.
I don’t think I would feel particularly safe on a scooter in the US but, given the sheer number of them and the fact that car drivers in Taipei have no choice but to be aware of them, it feels a bit different there.
On the night I visited Elephant Mountain, my host picked me up at Taipei 101 and we rode his scooter through the narrow backstreets to the base of the stairs. I hadn’t been on the back of a motorcycle since my teens and it was rather fun! We must have made quite a sight, though, with both of us lugging camera gear and tripods!