LoveLand Carrying Case (LEGO Samsonite)
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The LoveLand Carrying Case was designed and produced by Samsonite from their Loveland Plant starting in 1967. For detailed coverage about the LoveLand brand as well as the release/availability of the case, check 501 LoveLand Carrying Case, as there is quite a bit to go over that is out of the scope of just talking about the elements.
The most important thing to note is that this case was not intended as a LEGO element. It was Samsonite's own product and was marketed separately, but the case was eventually absorbed into their LEGO products. We won't be covering all LEGO uses of these cases either.
All cases should come with a badge on the front with the LoveLand name, though they are commonly found missing them. I'm unsure if some examples were produced without it after 1969, when LoveLand as a brand fell out of use, or if it continued to be present regardless. They are easily damaged/lost:

There exist three known colors, all of which contained the removable, single-piece tray and used the same, standard Samsonite key.
The most common is red, used for many LEGO sets, most notably the 502 Deluxe Set With Case:
The less common, but still relatively available is the blue version. It was available through the 501 set linked above (which came with the exclusive tag) as well as the earlier Kraft promotions:
Then the rarest variant, as only two examples are currently documented to have survived, is the 1968-69 E-054 Three Worlds Carrying Case Set with an exclusive turquoise case:

I suspect more likely exist, but due to the paper trays, they were cannibalized and separated from their LEGO pieces long ago. Examples of the empty case are likely floating around out there but are difficult to find, but that's just my theory.
Then there is an even more bizarre variant, one that I currently have no idea why it exists or where it belongs. It is the LoveLand carrying case, but with a standard Samsonite logo used on their attache cases:
It also includes the standard interior for a Samsonite (non-toy) case:
It also has some bizarre metallic ribbon that looks amateurishly applied, and it may or may not be original. I'm only aware of this one surviving example, but that's not because I've been looking.
Perhaps it was Samsonite making use of the case's mold after retirement, or maybe it actually predates the 1967 release of the LoveLand Carrying Case. Or some other third thing. All are possible, but not evident enough that I'm comfortable with any of them, at least not without something more to show. I suspect once I'm deeper into my Samsonite luggage coverage I will have more insight.
Also worth noting this case sold in Switzerland with other LEGO (non-Samsonite) sets under the 502 number in either the late 1960s or early 1970s. I'm not sure why.