If there is more than one way to skin a cat, then there must be many ways to peel a tomato. I never peeled a tomato before this, so my first instinct was to “google” it.
Pick firm, medium tomatoes. Microwave on high for 30 seconds (a little more for larger ones) . Having a good vegetable peeler helps and I found that if I peeled in continuous motion around the tomato from bottom, it was better than individual peels along the vertical paths. I didn’t try to peel over any soft spots, but used a paring knife there instead.
Slightly score across the base of the tomato in a cross fashion. Then drop one tomato at a time in the boiling water. Leave for about 20 seconds.
Cool each tomato in a bowl of ice water.
Use a knife to make a cut around the “equator” of the tomato. The “northern hemisphere” and “southern hemisphere” of the tomato will now slide off intact.