The lift manufacturers tend to be conservative with their published requirements. Most say you need a wheel with 4.5" of backspacing, in part because that is a fairly common size but also because that gives them room to spare. So if you follow that requirement you will likely have room to spare no matter what size tire you put on that wheel.
For example, in most cases while the lift says you need a wheel with 4.5" of backspacing you can get away with a wheel that has 4.75" or even 5.2" of backspacing.
If their is clearance issues between the lift and the wheels / tires it is usually at the back with the sway bar links. Often the solution is as simple as running the sway bar link on the inside of the bracket instead of outside the bracket.
As an example to all this, our first lift was a Teraflex 2.5" lift. The lift said the standard thing about backspacing, that you need 4.5" of backspacing. But we ran that lift for a year or so with the stock factory wheels with 6.2" of backspacing. And we wheeled it fairly hard like that. Never an issue with clearance for the wheels / tires.
So lifts really do need less backspacing, this does not apply to all lifts. If the lift uses brackets to space the front shocks out wider that might not work with some wheels if they have too much backspacing. Lifts with extra travel are more likely to be sensitive to backspacing, and they are more likely to need brackets to space the front shocks out. But honestly, just because brand X lift says you need wheels with 4.5" of backspacing doesn't mean you can't happily run wheels with 4.75" or 5.2" of backspacing. Lots of people do. We ran 37's with 5.2" of backspacing on that TF 2.5" lift, the only rubbing was minor rubbing when turning all the way left or right between the tire and the chassis at the back of the tire or on the sway bar up in front of the tire. But it was not a problem.
An 8.5" wide rim is fairly common, but some have 9" rims and that works as well. I would not go wider than 9" myself. But that is in part because we wheel it, and a wider rim is more likely to get damaged off road, all else being equal.