In parts of European 3-phase land, they like to plug cookers in with 5-pin Perilex plugs, or the Swiss or French equivalents. Usually 16A or optionally 25A, if the cooker shares the load reasonably evenly between the phases, the 16A plug gives the equivalent of 48A single-phase, or 32A if only two phases are used (leaving the the third for the oven). In single-phase installations, there is an unofficial re-purposing of the Perilex as 2 x 16A by connecting the L3 pin to neutral instead. Russia has a dedicated 3-pin cooker plug rated at 25A, so rather less useful but purpose-made with a flat design to fit behind a cooker.
When you have wired a cooker to a Perilex with nothing heavier than 2.5mm², our system that involves beating 6.0 or 10.0 into submission and/or then finding your oven has a 2.5mm² flex intended for a 16A circuit all seems a bit random. Also what we really don't have a neat solution for is the significant number of ovens that require a circuit fused at no more than 20A, but more than 13A. These are often intended to be plugged-in with a 16A plug in Europe, but as we don't have a 16A domestic socket in the UK we end up hard-wiring them, perhaps paralleled with the hob on a 32A circuit and conveniently overlooking the requirement for 20A max OCPD.
It is possible to design a relatively cheap but reliable 32A or even 40A connector with a low profile, if high insertion force and limited insertion cycle life are not important. If the OP wants to revolutionise cooker connections, how about a dual socket face plate with two 32A low-profile connectors that can accept 6.0 T+E or 5-core 2.5, with the option to fuse one down to 20A with a cartridge. A bridge too far? People said that about RCDs.