I haven't made these in forever. I recall them from my younger days. Two jars of them, one red and one white, sat on the bar of every neighborhood gin mill in town. Like this place, one of my food favorites for their hot dogs!
Back then, we kids were welcome to go in and buy hot dogs or snacks - or pickled eggs. I think they were a nickle each back then. They're available commercially, but most bars back then just made them in their kitchens.
Anyway, I used to make these every now and again, but it has been decades. For some reason, like a shot out of the blue, I got a craving for them. I made the red kind. They were ready today and we had them at lunch.
Hard cook a dozen eggs. Peel and set aside.
Open a 15 oz can of beets - whole or sliced, makes no difference, just your own preference. Drain off the liquid into a sauce pan and hold the beets aside.
Add a 1/2 cup of vinegar. It can be white or cider, again, your choice. I like the cider as it adds a bit more flavor. I have done these with wine vinegar and isn't a good choice. Add a 1/2 cup sugar or other sweetener. I actually used the equivalent Splenda in the batch I just made, but you can use any sweetener than can be cooked. Boil the liquid and reduce by half to three quarters. This blends the flavors and concentrates them. Now dilute it back to full strength with water. Let the mixture cool.
Get a small sweet onion and slice it very thin. Put the onion, the eggs, and the beets in a glass bowl. Now estimate if the liquid will cover it all or not. It probably will not. I add a 50/50 mix of water and vinegar to bring it to the correct volume - just enough to cover everything.
Cover and seal the bowl and put it in the refrigerator for at least two days, but three or more is even better.
The vinegar gives the eggs a very nice "bite" texture - kinda rubbery, but in a nice way. The flavor is great. They hit that same taste spot that salty foods do, but they're not salty.
The white ones are even easier. They're just diluted white vinegar with the same amount of sugar. No cooking. Just cover the eggs in a water/vinegar/sugar solution that is as strong or light as you like.
I like them both, but favor the red kind.
These pictures are not mine, but are typical. The jar in the middle is another variation. They're made like dill pickles with a whole, involved recipe. They're good too, but a lot more effort.
update to add "sugar" to the white kind.