The plate is inside the cabinet, on the left-hand side, and it carries three numbers rather than one: a Type Designation, a Service Number and an Appliance or Serial Number. The maker asks for all three together, and most people photograph whichever looks most like a model number — which is usually the least conclusive of the three on its own. Cabinets that look identical behind matching cabinet fronts are frequently different generations taking different parts, and the Service Number is what tells them apart.
The list on this page is the current US line as the maker publishes it: 68 models — 52 refrigerators, 11 wine coolers and 5 freezer columns. It was read from the maker’s own sitemap rather than assembled from memory, and what counts as a domestic appliance is decided by each page’s own breadcrumb. That matters more here than on other makes, because Liebherr also builds mining equipment, mobile and maritime cranes and laboratory refrigeration — of 1,626 US product pages, only 124 are refrigeration at all and 45 of those are professional cabinets that have no place in a kitchen.
Two things about the numbering are worth knowing. The web address is not the model number for this market — a cabinet at /p/ecbn-8870 is sold in the States as HCB 2090G, so a number copied out of a URL will not match your plate. And six of the maker’s own product pages name two models at once, because Side-by-Side pairs are sold as a unit; here they are listed separately, since each column carries its own plate and only one of them is usually the one that stopped.
Ten of these cabinets are Monolith, which is the only line the maker names on its own US pages: the MRB refrigerators, the MF freezer columns and the MW wine coolers. It is a line rather than a different machine — it changes the cabinetry and the interior, not the refrigeration — so it changes what a visit looks like rather than what it costs.
If your model is not listed, it is almost certainly an earlier generation rather than an omission, and we repair those too. Send the three numbers off the plate and what the cabinet is doing, and we will tell you what we are bringing to Miami.