Summersoff, I believe the plant you have in the first photo is Chamaedorea elegans, also known as Parlor Palm. As to if it will grow into a larger palm from it's current size, I cannot say (I do not know that much about this particular plant, but at least a name will help you if you want to research it online). As to the second photo, I saw one of these just the other day, I don't remember what it stated the species was, but it is a species of Dracaena, I think it might be Dracaena sanderiana, which is also known as Lucky Bamboo. Lucky Bamboo as you mentioned, is also a species of Dracaena, not bamboo as some people think. It looks to me that the stems present on this plant are stems of the plant itself, but its top growth (leaves) has been stunted (by growing the plant so its stems become a certain thickness and then chopping off the top section of growth, causing new "shoots" to form at the tops, creating the foliage you see). To me, it looks like a really thick version of Lucky Bamboo, which makes me think it might be Dracaena sanderiana. It is similar to your Corn Plant, which is also a species of Dracaena (usually Dracaena fragrans). However, your Corn plant is not growing on its original stem (see below). Just some information on your Corn plant in case you didn't know but were interested: It is a piece of cane rooted in the soil (the foliage on top of the corn plant is the Dracaena fragrans) with some Dracaena "grafted" or "air layered"-- I don't know exactly how they do it-- into the cane which creates what you see and know as a Corn Plant. I hope this information has been helpful. Planto

I agree with the Ardisia crenata suggestion on that one, 2nd is a mystery.

My best guess would have to be a Bird of Paradise. Most likely a white Bird of Paradise. I had a white one before, and it resembled your plant.

Mmmm, reminds me of the many labiates which infest my woodland - galeopsis, stachys various mints and the like. I generally ignore them but my herbalist D-i-L always swoops on them...