Well if you want to go totally old school you go out and buy some cull fat. It's the membrane that holds the insides together. Your local butcher can get you some.
Get your meats and fat then start chopping like crazy to make it as small a dice as possible. (Or go to your local butcher and ask him/her to grind it for you. It won't cost much.)
Mix in your spices and such until it's what you want. You know, follow your favourite recipe.
Start making patties/logs/egg-shapped mounds/whatever shape you like of meat and wrap them in the cull fat.
A nice addition is putting a bay leaf inside each wrap.
To cook, you brown them off and either braise them off like a few traditional British dishes (which have a name which isn't very PC) or just toss them into the oven and roast them off.
There you have it. A minced meat like sausage that can be made without the use of modern gadgits.
Mind you there is alot to be said about those cheap $25 hand grinders!