Lee and Sherman tanks used aircraft-derived engines. The Rolls Royce Merlin was used in vehicles as the Meteor and postwar Meteorite (including diesel variant). Aero engines, with some aluminium replaced by steel and iron appear in many army vehicles in WW2. But not the Germans, which surprises me, as their aero engines, such as the Junkers Jumo 223 look like a good start.
Why didn't German army vehicles use aeroplane-derived engines?
The bulk of German tanks used the Maybach HL120 of around 12L and 300hp this includes the tanks Panzer III, Panzer IV, the StuG III, Jagdpanzer IV, the Porche Elefant used twin electrodynamic ward leonard drives driven of two HL120. Ferdinand Porche had designed a single engine to propel his version of the Tiger I but technical problems that couldn't be resolved in the available time forced the use of the two HL120.
The heavier tanks used the Maybach HL230 of around 23.095L and 700hp this includes the tanks Tiger I, Panther, Tiger II and derivatives Jagdtiger and Jagdpanther.
A development of the HL230 engine, the HL234, essentially replaced the carburettors with fuel injection was expected to produce over 850hp and be used in Tiger II, Panther II and Panther Ausf F. With supercharging 1200hp was expected.
I think the question should be why did the British use at Merlin derived Meteor engine in the most of their tanks from mid war onwards and two petrol engines in the Matilda II.
Why did some Sherman's have an air cooled radial? Others had 4 x V8 and some Marine Shermans had diesels.
If criticism is to be levelled at the German tank engines it should probably be that they had few if any diesels which though it has inferior P/W ratio has better fuel economy and the fuel can also be more easily synthesised and it is less likely to ignite. Only the Russians focused on diesel powered armour.
I could hsee the Junkers Jumo 210 being evolved as a tank engine but the HL120 and HL230 were perfectly adäquate. Moreover thought the HL210 had an Al alloy block it was problematic in the early Tiger/Panther tanks and the HL230 with a more sturdy cast iron block replaced it.
There was one sort German aero derived tank engine planed. This was the GT 101, GT102, GT103 which were scaled down BMW 003 turbojet. The GT101 used directed drive, the GT102 used a power takeof turbine and the GT103 had a heat recuperator. Experimental only. The P/W ratio was of great interest but also was the ease of manufacturing gas turbine fuel from coal.
The DB603 started as an automobile engine for the land speed record T80 car though I'm sure Daimler Benz always intended it to be an aircraft engine.
The Jumo 223 development you mention was superseded by the Jumo 224 which was essentially 4 Jumo 207 horizontally opposed Diesel engines connected at the corners. I think at 4500hp was expected and designed for transatlantic aircraft. Perhaps it belongs in a locomotive lie the Napier Deltic that powered much of British Rail. Maybe the 1200 ton Ratte tank?
The replacement for the Bradley IFV will likely get a Cummins 2 stroke diesel like the Jumo 205 in configuration. They're about 30% more powerful and more fuel Efficient. There is a long American tradition of Fairbanks Morse engines in this configuration.