Fly in to Manchester Airport (MAN), from there take a train from Manchester Airport to Mytholmroyd
Search for train tickets to Mytholmroyd station, if not possible, look for train options to Hebden Bridge
Since the UK is mostly a car centric country, driving is the more preferable option.
If you are coming from the south, the most direct route is taking the M1 to Leeds and then take the M62 towards Manchester, getting off at junction 24 (Halifax)
If you are coming from further north, you can take the A1(M) or M6
If you are planning on driving from another country you can take two routes:
From Dover (Ferry) follow the A2 & M2 towards London, on the M25 leave at junction 21 towards the M1 North
From Folkestone (Channel Tunnel) follow the M20 towards London, on the M25 go Anti-Clockwise towards the Dartford Crossing and then leave the M25 at junction 21 towards the M1 North