I don't see many kid sized three speeds and was fortunate to have picked up two great bikes for my daughters...
My 9 year old daughter rides a 1973 Raleigh Fireball that I restored...
My 11 year old daughter rides a 1980 Raleigh Saffron which is an adult bike but most suitable for such a long legged lass and the best thing about the bike is that she can ride it for as long as it lasts due to it's high level of adjustability.
They have nice mountain bikes for urban riding and commuting they always choose their English 3 speeds and I am hunting for another Saffron as my 9 year old will outgrow her Fireball and also loves the idea of keeping one bike through the years.
She wants to save it for her kids.