Rimowa is a German company and has had the natural link with LH, though it's current amenity kit is no longer the Rimowa. The overall design of these cases (real and amenity) was based on the old Junkers transport, LH's predecessor airline's primary aircraft in the 30s and 40s. And adopted in the seat design of LH's premium cabins for a couple of generations. That said, I think they are quite unfunctional and only have value as an eBay item, though with the adoption by BR, that market is getting flooded.
AA has opted to go with the American design house of Charles Eames for its kits (and make the F ones functional as iPad cases); QF's is rather mediocre these days as is CX's; JL's new one is Lowes luxury from Spain; and BA has used English handbag design Anya Hindmarsh for theirs.