I was in similar shoes to you 3 and a half years ago but studying Finance.
I applied for:
-Operations management at cross country, I think this scheme still exists.
-Operations management at Royal Mail.
-Project management at Network Rail.
-Corporate Development at Manchester Airports Group
-Finance at Jaguar Land Rover (seriously considered applying for logistics instead of Finance.
I was lucky enough to get a place on the latter scheme and I’ve been extremely happy with the job ever since.
When I was looking there were also schemes at First group where you went around several subsidiaries of the business including rail, buses and including both the maintenance side and the operations side of either. I didn’t apply for this as they expected you to move to any corner of the country at relatively short notice every six months.
National express had something similar (although I don’t think they have a rail franchise anymore).
British airways have a well regarded graduate scheme as do other airlines.