Contour and other layers not matching with basemap

Question

I have added lidar data from Defra survey data services to GIS file but it doesn't line up with the basemap - see image field shapes show it's out by a considerable amount.  What's the fix?

Have also added SciMaps for connectivity and erosion, these also seem to be misaligned with the basemap.

Thanks

clt_cabq · Answer

maps use different systems for showing data relative to the world, it gets very complicated very quickly but you have to make sure the data in your either are all using the same system or that the different data layers have a system designed so the map can 'project' them on the fly to make them line up correctly. This is probably something you should read about here:

Coordinate systems and map projections

Ange · Answer

Relatively new to using GIS I'm still none the wiser on answering that

George_Thompson · Answer

Sorry, that should have said "projection". I have updated the questions.