My favorite recipe is super simple and the ladies love my backsweetened version.
Important: pasteurized apple cider and ascorbic acid (vitamin c) is acceptable. If anything else is added for preservation do not buy.
I use Musselmans Apple Cider because it has a good taste and is out in every Walmart in my area this time of year.
As usual you need to do a good job sanitizing; acetobacter loves apples and likes to magically turn alcohol to vinegar.
No cider is safe but you can keep them at bay with good sanitizing and starting with pasteurized juice.
Dry Cider:
For every 1 gallon of cider add 1 can of apple juice frozen concentrate (cheap walmart version works, whatever you use make sure it has no preservatives).
This will give you a OG of 1.055 - 1.06; more concentrate or sugar can be added if you want a higher OG. Sugar thins the body, frozen concentrate is a good way to add sugar without thinning the body as much.
Ferment with clean Ale yeast (S-05, S-04) for best results; EC-1118 will make it super dry with a very light body.
Finishes at close to 1.0 at 8% abv. If you want to carbonate it bottle like beer; if not you will need to add some potassium sorbate after cold crashing.
Sweet cider (like woodchuck, carbonation requires kegging system):
Ferment as above. After cold crash transfer off of yeast and add potassium sorbate. Back sweeten with 1 can of frozen concentrate per gallon.
Force carb with kegging system, enjoy.