Opinions will vary, so that's important to realize. I've, for example, been trying the neoair out, and find it to be about the worst sleeping pad I've ever used, first time in my life I've found myself pining for my old 3/8" closed cell pad, literally. Way too narrow, way too high, and if you move when you sleep, you just fall off it. I'm reasonably short and my feet hang off the end, which is silly. Determine how you sleep BEFORE you buy the pad. If you move around a lot at night, don't bother with the neoair, it will make you ill and seasick, like all air mattresses that are not foam cored. Best test: at your house, sleep on a hard floor on a foam pad, if you can sleep on that, great, you're set. If you want a bit more, the thermarest prolite is pretty nice, in my opinion more comfortable than the neoair at regular size. Depends on your weight too.
Decide on a few things: if you are going to use trekking poles or not, if you are, your knees will thank you when you get older, significantly, but you can also use a range of tarptents that are trekking pole supported, that saves you about 8 oz give or take. If you don't use trekking poles, I don't find the straight pole trekking pole replacements these guys offer for their tents very convincing, I wouldn't use them myself.
Check out what tarptent offers. I'd avoid any shelters that don't have integrated bug protection, the east coast has a lot of ticks and bugs, and lyme is not a joke, so don't pretend you will sleep without a bug shelter built in ever, unless you really want problems. Henry offers some really nice trekking pole supported tents, see if anything he has rings your bell. His stuff is nice, and is not a huge learning curve up from standard backpacker gear, non light, it's pretty familiar terrain, and you'll be FAR happier in one of his tents on a really nasty rainy day than in some tarp/bivy combo. The contrail for example is a very basic tent that is trekking pole supported and quite light, but low and maybe not as neat as his new Notch, which seems far more storm worthy to me.
I'd spend the most on the sleeping bag, that's where I found when I was moving to light gear I made the most expensive mistakes.
Also, remember most posters here in these forums have a hard time separating their own preference for ultralight backpacking and the sacrifices that requires from general lightweight backpacking, which is the forum you posted in, so take some advice with a large grain of salt. Whiteblaze forums do not seem as prone to this confusion so also ask there and compare the answers you get.
I'll second the alcohol stove recommendations, that's a very nice way to go, but do make very sure to practice with it a lot before you set out, they need real wind screens in the wind, and expect monstrously huge performance drops in wind, so learn about that. But they are very nice. For solo use, you can do 2/3 oz per meal, including warming 8oz of water for tea or whatever.
I find that a very nice light setup, which most backpackers except the ones here as a rule would consider ultralight, is around 12 pounds base weight. That is very comfortable to carry, means 1 week of food water and fuel puts you under 25 pounds easily. Nice packs that might feel familiar to you are ULA, they strike me as a nice balance between weight and functionality, and are very well regarded here.
Keep in mind with quilts, like with sleeping pads, it depends on how you sleep, your style, so while the quilt recommended above is a really good deal, if you prefer a sleeping bag, look at western mountaineering, those are nice bags, and you won't ever regret buying one, plus you can resell them easily if you feel you want a quilt instead.
Other really nifty things are done by people on these forums, the big dig titanium trowel is very cool, and it works, and is super light. Lawson mountainfitters http://lawsonequipment.com/ has lots of neat and practical and nicely priced things, for example.
To give you an idea, here's my current setup, give or take:
pack: myog, 18.5 ounces, holds 25 pounds just fine, less is a bit better. ULA will be about 2 pounds, give or take, but will probably give better support than a 18, 19oz pack.
sleeping bag: western mountaineering summerlite, 19oz, great, might be the best out there, hard to say.
pad: probably going back to thermarest prolite, that's 16oz, or the short one, which is 11, plus foot padding, which I use for my frame internal pack structure too.
cook set, complete, 12 oz give or take, alcohol stove etc.
tent: tarptent rainbow, 2.25 pounds give or take, a bit overkill, I would try to go lighter for a multiweek hike I think, but it is very roomy and nice to be in.
ground cloth, polycryo ground sheet from gossamer gear, these things really work, amazingly enough. weighs almost nothing.
sawyer squeeze filter, this thing is great, it rocks, my favorite piece of new gear. Requires backflushing every week or so with the syringe, but otherwise it's great. weighs almost nothing.
with this type of setup, my baseweight is 12 pounds, give or take, I consider this very practical and doesn't involve any particular sacrifices in functionality.