It would be helpful to describe both plants- if it's a very thick-coverage vine, it could be an ivy, honeysuckle, or kudzu, all of which are very common in Georgia. Honeysuckle has flowers, ivies are very distinctive and usually a dark emerald green (they also smell a bit like a tomato plant), and kudzu is absolutely all over the place.

I know better than to disagree with Randy because he's always right. : ) However, I am not sure gasoline is the answer. Just order a load of concrete and have them pour it over the plant and for about 10 feet in every direction. I am willing to bet the roots have already grown through the bottom of the disintegrating whiskey barrel and are taking over the underground world. If gasoline and concrete are not the answer, perhaps a bulldozer could get rid of it all. You do want to get rid of it, right? Because if you keep it, it will eventually cover your yard, house, driveway, etc. This is not a moment to be organic. Cut it off a couple of feet above the ground. Then give it time to put on a flush of new growth. You WANT it to use a huge burst of energy putting out new growth and then--WHAM! Hit it with a good chemical brushkiller. I'm mostly organic myself, but there is nothing in the organic world that will kill this stuff. Give the brushkiller time to work. And, yes, it will look very ugly as it slowly dies. Once it looks completely dead, cut off all the above ground stuff. Then, you have two options. Either you can use a heavy-duty rear-tine tiller and try to till up the ground and remove every bit of root OR you can wait for it to resprout (because it will!) and then treat it with brushkiller again. Either way, it likely will resprout several times and then you can either whack away at the regrown roots with the tiller OR the brushkiller. Persistence is the key to defeating this horribly invasive honeysuckle. There are some lovely, less-invasive honeysuckles, but this is not one of them. It is the evil one. Some people who live a few miles up the road from us have several of these things, and they are huge mounds about 6' tall and 8' across, and they are growing in the shade. If they were in full sun, there would be no stopping them. Dawn

As bboy said, 1 is a Portulacaria (I think probably Portulacaria afra). It is Elephant Bush, Elephant Food, and various other nicknames, and is sometimes called Dwarf Jade, but it is not truly a jade -- jades are in the Crassula genus, a different genus of succulents. [Though they resemble each other, Jade plants and Portulacaria afra are not in the same genus, not in the same family, and not even in the same order. They are distant cousins at best.] Here's some info about P. afra: http://www.smgrowers.com/products/plants/plantdisplay.asp?plant_id=1314

Nick, the first plant looks to be a ninebark. Decent native shrub, useful in a number of ways. Can be renewal pruned, but that is usually done in the dormant season. The second one is common buckthorn, a disaster in slow motion. Get rid of that POS bu any and all means possible. See the green fruits? They will soon ripen to jet black, which actually looks cool against the snow of winter. But....but...but..this is a horribly invasive thing, ruining woodlands all over the upper midwest and beyond. Use the cut/treat method to kill it. First, cut the plant off somewhere near the ground, no particular length of stub is important here. Then, immediately daub, paint, or sponge on some concentrated glyphosate (41% AI) or Triclopyr. Do not use any other herbicides for this. And if possible, do this from second half of summer through February, when sap movement is more downward. This will help either of these systemic herbicides to move throughout the plant, killing the whole thing. One final note: If you've got one big, mature, fruiting buckthorn, there are more coming up in dark places in your yard. When very young, they are quite easily pulled out by the roots, and some can be foliar sprayed, where no collateral damage will occur. So take a look around. I'll bet you a dozen donuts there are more on or near your property.