That was my first time in a plane.
That was my first time on a plane.
We travelled in a very big plane.
We travelled on a very big plane.
Use on with planes, buses, coaches, trains, trams, ships and ferries: ‘on a plane’, ‘on the bus’, ‘on a train’, ‘on a ferry’. We also say ‘on a bicycle’ and ‘on a motorbike’.
Use in with cars, taxis and vans: ‘in a car’, ‘in a taxi’, ‘in a van’.
Say ‘get on a plane’ and ‘get off a plane’, but ‘get in a car’ and ‘get out of a car’.