i would do whatever you're comfortable with. I try to mix it up but find myself favoring a few exercises over the others. like t-bars and deadlifts for instance.
day one for back:
seated closed grip cable rows: 240 for 12 for warm up, 310x10x2
t-bar rows: 4 plates for a warm up for 15 reps, 7 platesx10x2
unilateral hammer strength rows: ( the machine that mimics a dumbbell row but you're in the seated position) 205x10x3 per side
day two:
wide grip lat pulldowns: 160x15x1 for warmup, 225x10x2
deadlifts: 315x12,1,405x10x1,485x5x3
hammer strength pullovers: 270x10x3
I try to keep the variety in the movements to prevent boredom and to hopefully hit every part of my back. I try to avoid going beyond say 9 sets to keep from overtraining. But in those nine sets, heavy and hard as possible is what I strive for. It takes awhile to determine what does what for you. My advice would be to take a day and just try each piece of back equipment at your disposal and find the ones that you feel hit your back the best and fit your body size and shape better than the rest. It'll pay dividends. Some machines I just can't use, the same with some free weight movements due to their awkwardness or the way they position the body isn't condusive to working MY back. Different strokes for different folks.
f**k it...
just do deadlifts
as far as order goes...i'd do the heavier compound movements first like t-bars, deads, etc. and then go to your unilateral stuff and cable work. See how that feels.