These two guys have offere good advice. Ill add...
If youre used to old school heavy leather boots. Stick with em. Especially if you tend to pack heavy. They offer durability and ruggedness that few modern full synthetic boots/shoes can at any price.
With that said if you tend to pack light, or only go on day hikes I'd HIGHLY recommend switching to the new style lighter shoes/boots. Youll find youre fresher after any given distance, youll find it easier to pick your footing over rough trails, and youll find you trip/stumble less often as its just so much easier to place your foot where you want it.
A waterproof trailrunner might be all you need if you just need a shoe up to tackling the outdoors and you never go heavy. Many people bemoan the lack of "ankle support" in a trailrunner or other low cut shoes. The thing is if youre carrying a light load and wearing a shoe that weighs only a half pound or so the ankle support often isnt needed. Unless youve got a medical condition preventing low shoes youll most likely find that switching to appropriately low cut shoes will actually strengthen your lower leg and ankles and improve your foot placement on trails.
A lightweight synthetic boot is still a great option compared to a full leather boot. The difference in weight is immediately felt. If water resistance is important to you be sure you specifically look for ones that claim to be waterproof, and dont go for ones that simply profess to made with "water resistant materials". Waterresistant materials mean nothing when theres mesh sections that allow creeks to flow straight through your boot.
Under Armor Valsetz are a relatively (<$120)inexpensive entry to into superlightweight boots. They are essentially high top trail runner/cross trainers. and they are very comfortable (to me). Nice traction bottom, but still nice and wide and moderately flat. No excessive fore/aft or side-side rocker built into the bottom. There is a waterproof goretex variant with a slightly different model anem that I cant recall.
Merrel offers many shoes that DO have the more modern trend of having non-flat bottoms with rounded/rockered heels and forefoot tread. I dont like these, though I do like some of their very light weight low tread profile trailrunners.
Salomon GTX series of X Ultra, XA Pro and Quest boots/shoes are arguably the cream of the crop in modern lightweight trail shoes and boots.
I personally just picked up a pair of Cabelas "Goretex Trainer CT1" boots. (My Salomon Quest 4d GTX were left too close to the fire.....

) They are heavy compared to everything ive mentioned in this post at about 2-1/3 lbs for the pair, but they are still lighter than most traditionals. And they are $100 less than the Quests. These wont see any serious trail time, but will be general work boot and outdoor shoe for kicking around camp and going on 2-3 mile woods wlaks with the CubScouts.
My everyday sneaker is a Saucony TR9. Very comfortable, nice a light.
too well ventilated for serious trail use as it allows in sand through the vents.(even though it looks solid) Ill probably buy another pair when these wear out as they are high quality, comfortbale and relatively inexpensive. Even though they let sand in through the mesh, and I feel the forefoot is slightly low on the outboard edge. Not enough that I feel off camber or anything but enough that i notice I wear the fabric over my pinky toe more thant anywhere else.
Ill pick up another pair of Salomons soon. I think they are exceptional.
You should be able to find Salomon, Under Armour, Saucony and Merrell at Cabelas.