I just put food waste and some other compostable stuff outside -- in a pile, on the ground. Currently, that pile is in a place where autumn leaves tend to gather naturally.
And in that pile, it all composts. It turns last week's bean soup into next year's hot pepper harvest.
It's not zero-effort but it's very close. I'll have spent more time writing this comment than I have on any aspect of composting over the last several months.
Later on, to use it in the garden, I just... use it in the garden. I scoop aside the top layer with a shovel and take whatever is beneath it. The plants don't seem to care that the composting method is slow and lazy, or that a portion of it might be somewhat unfinished.
(Now, to be sure: Home-scale composting can have a great deal of optimization applied. Bins, aeration, deliberate introduction of red worms, careful management of moisture, temperature monitoring, whatever -- the sky's the limit. But I have enough hobbies, and I'm not trying to market it as a product or win a race here. This method keeps up with my household's output just fine and doesn't take up much room at all in my tiny-ass yard.)
Also try to mix in some brown/carbon (leaves, shredded paper, cardboard etc) with your green/nitrogen (food scraps, grass cuttings etc), otherwise it can become a stinky swamp (anerobic).
Badgers, foxes, racoons etc. Depends where you live.
Probably should have used a better word than 'vermin'. It sounds overly judgemental.