Well I haven't experienced LH's yet so I am not a great help here ... but I have been consistently disappointed with CX' offerings and products. From bad food, no IFE, sparse service runs and old Y+, CX has become the foul egg of OW in my prejudice.
And while I find QF's Y+ a lot better in all aspects than BA's (not only due to the much more pleasant accent), BA at least now and then improves their product.

But it looks as if LH really managed to climb to the top of the PEs out there. The cabin looks a lot posher than BA, QF, BR, CX, and JL.