The most damage is caused to an engine in the first moments/minutes of running on a cold start; all the clearances are wrong, the oil has drained into the sump and is at its thickest so takes a while to circulate. For every gallon of petrol you burn you produce a gallon of water. When the system is cold the water condenses in the exhaust system and starts to corrode it; at operating temperature the exhaust is hot and the water evaporates out, leaving a dry exhaust system. In other words, the cruellest thing you can do to an engine is run it for a few minutes every few weeks.
If you love your car connect it to a trickle charger and every few weeks roll it forwards or backwards just to change the tyre positions; better still, jack it up and put it on axle stands to take the weight completely off tthe tyres.