I'm the only one in my family who likes giblets, which is great for me because I can have them all.
However, the only time there is a bounty of them is when I cook a turkey. When I do that, I usually cook them in some stock with the neck, along with some salt and pepper. I cook the heart and gizzard first and the longest, at least 45 minutes, then add the liver and cook it until it runs clear when punctured with the tip of a knife or a fork.
The way I usually eat them is to drain them, sprinkle a tiny bit of salt over them and munch away. They're my "reward" for the laborious task of preparing a turkey meal.
However, I have used chicken livers, hearts and gizzards, cooked together and/or separately in a tarragon-flavored sauce.
When I cook those, I dredge them in flour that has a little salt and freshly ground pepper added, then saute in butter until lightly browned. Lower the heat, add some white wine, some chicken stock/broth and a bit of tarragon and simmer until tender. Sort of makes it's own sauce as it cooks. Most of the time I serve this over rice or noodles. Believe it or not, when my children were small they loved it.