If the offers provided by buses do not suit your needs, trains and carpooling could represent a good alternative for this distance.
What time do the busses to Basel leave?
While the first bus leaves at 10:11, the last one leaves Neuenburg am Rhein at 21:11. The duration of the journey is on average 32 minutes, but it can take you only 30 minutes with the fastest connections.
Which bus companies serve the route Neuenburg am Rhein - Basel?
There are many companies cooperating with virail, among which also FlixBus with buses to Basel.
Flixbus is undoubtedly one of the youngest and most famous bus companies in whole Europe. With more than 40 millions passengers only in 2017, Flixbus offers national and international bus connections, also with night buses.