Not to split hairs, but that depends on what you mean by "complete".
In addition to the Scrap Muk LE, there was also a black-handled, non-numbered Special Edition. Same thing for the S5 (LEs and SEs), plus there were multiple handle colors (3) and blade colors (I'm wanting to say 5 [Black, Muddy, Sage, Tanker, and Moss], but I may be short) for S5 CGs, so a complete collection of all S5 color combos would be a lot. Additionally, there was a give-away last year that included an orange-handled and a purple-handled S5 SE (I don't know who got them, but they looked 'sharp' [pun intended]). If you want to get really technical about mudder handles, you could go back to the Swamp Rat "Bog Dog".
However, if by "complete" you mean one example of each Scrap Yard mudder model, then I think that's all of them: the SS4, Mud Puppy, Scrap Muk, Bird Dog, Scrapper 5, and Wiener Dog. Jeff always tries to get at least one of each to make sheaths.