Just let it be a heap on the ground.....Don't turn it let it take two years.
Slightly less lazy compost........
Make a bit of a bin for it to keep it contained a bit.........Still don't turn it, if the ingredients were correct and it got hot, it will probably be ready in one year after you quit adding stuff to it.
(This is what we do with Humanure composting)
Neither of those methods will get you fast compost.
You can also spread some types of compost materials directly on the ground (sheet composting) but you generally should not do this with fresh manure or other things that really need to be composted before exposing your garden to them.
Some people just dig holes/trenches in the garden pathways and bury the kitchen scraps there, next season the pathways become the garden rows and so on.
I don't turn compost because it is just too much work for only minimal benefit, I don't have a tractor and can usually get mushroom compost to use while I wait for the home compost to be ready.
Paul turned me on to the Compostumbler and I think it will work in our neighborhood and yard size. However, I'm a little concerned about the availability of our "ingredients". Table scraps, or the greens, won't be a problem. But we have limited supply of browns. Most of our trees do not shed, we leave our grass clippings in the lawn, and don't have things like straw available without buying them. We don't get the paper, but I'm sure I could round that up from the neighbors. Owning a home business, we do have a lot of cardboard boxes, but the glues scare me a little, and I don't think they'll break down as fast. Any suggestions?
Couple of ideas:
1. I bet you have neighbors who have trees that shed.
2. After the grass clippings have dried and turned brown on the lawn, rake up some of them for your compost pile. Or see if any neighbors bag their grass clippings. But grass clippings really need to be mixed - if they are green they tend to make a matted goo, if they are brown they tend to stay very dry and turn into sort of a powder (probably mildew or something). But mix them with their complementary material (brown if green grass, green if brown grass) and you'll be good to go.