VESPA P125X (BM-214)
In the US, the P was sold in 125cc and 200cc versions (though there was a 150 PX sold in 1984 and 2005). They are smooth, solid, and have many modern features. The 12-volt electrical system, bright lights and turn signals, and comfortable suspension make them ideal for riding in modern traffic. Parts are easily available and reasonably priced.
The 125cc version is a good scooter to start off riding, offering the advantages of low price and reasonable speed. We have spent some time on this scooter to make it nice and reliable.