Regarding the lift height, if your NSX is at stock ride height, the distance between the ground and the bottom of the jacking points is between 4.5 and 4.75 inches. Less, if it's been lowered. Most jacks tell on the packaging what the minimum lift height is. Some jacks have a metal cup that you can remove to gain 1/4 to 1/2 inch in range.
Quite aside from the lift height issue... It all depends on what you want it for - and this is no different from any other set of tools. If you use tools once in a great while and it's more for an emergency than anything else, you might be able to get away with something cheap. If you use them a lot, you will appreciate the better quality that you get at a greater cost.
If you really work on your car - so that you would use the creeper to slide under it - then you need a quality jack and quality jackstands. I don't think those are something that you would want to get cheap.
The difference in jacks is in a lot of areas. Better jacks often (but not always) have lower minimum lift heights, require fewer pumps, require less effort through the use of a longer handle for more leverage, are sturdier (often from greater length and width) and less likely to shift, are more reliable and less prone to breakdown, weigh less, etc.
I've been using a small, cheap, steel jack (like presumably comes as part of that set) for years, to bring to track events so that I can swap track tires and brake pads at the track, but nothing more extensive than that and nothing that requires me to get under the car. It has a small handle and requires a lot of pumps, and I have to lift the NSX fender to get it under the car, so it was not the all-around best solution. I recently decided to get a real floor jack and bought one of the $90 aluminum racing jacks (item 91039) from Harbor Freight. It fits my needs because it's efficient (~6 pumps) and easily fits under the car (3" minimum lift height), yet it's light (24 pounds) and compact enough to fit sideways on the passenger side floor with the seat all the way forward for transporting my set of track tires inside the car. Harbor Freight also sells other floor jacks for $130 and $200; their advantage is primarily that they are larger and even sturdier, which may or may not suit your needs better than the $90 jack.
I don't like to spend more than I have to, which is why I was using a cheap jack for so long. But I love my $90 jack. It was worth every penny.
