I've always thought about teaching my dog to ride with me but never got past simply having them pose with the bike. It does seem like it would take some very careful step by step training to acclimatize the dog to the movement, noise, vibration, and understanding that jumping off is not allowed except on command. Gromit's old wiener dog pal used to ride in the basket of her owner's bicycle and that started by simply putting the dog in the front basket then pushing the bike while walking along side. It didn't take long and she was happy to go for pedal powered rides.
On Dogs 101 there is an American Eskimo "Eskie" that rides on a bike. They live in Canada
Not on a motorcycle...But Gem likes our Jet ski!!!