Aircraft will typically take a different route westbound to avoid the strongest headwinds of the jet stream if possible.

For example, HNL-EWR may route towards California and ride the tailwinds of the jetstream, while EWR-HNL may go north and fly over the southern provinces of Canada and then turn south around Vancouver, B.C. and head towards HNL from there.

Across the Pacific (LAX-ICN) westbound will fly up the west coast and cross over Alaska to avoid the high winds while ICN-LAX will go out over the Pacific keeping to the south and ride the strongest tailwinds.

When I fly across the Atlantic, take DTW-AMS, eastbound we'll catch the jet -- this could mean flying north over Greenland or this could mean a flight path further to the south over the St. Lawrence. The return from AMS-DTW will then take a path away from the jet .. again it could be south.. it could even mean staying south of Ireland or it could mean flying north over Scotland, across Greenland, and back down.

It all depends where the jetstream is, which changes day to day and winds/patterns change depending on time of year.

I once flew DXB-EWR at 15 hrs and 8 mins wheels up to wheels down. We departed north over Iran and continued north over eastern Europe, Scandinavia, kept north of the UK, and went across the far northern tip of Greenland and then back down south. That was the furthest north I had ever seen that flight go, but it provided the most favorable winds (avoided a strong headwind further to the south) and shortest flight time. Would have been interesting to see what the actual distance was.