Hi David,
Of course you can grow all those plants in hydroculture. In fact, just about every plant can grow in that method. I have dozens of plants in that style. Aside from my cacti & succulents, all the rest of my plants are in hydroculture; none are in soil, no soil at all.
Do not put those plants back in soil; they might not make it. It is easier to convert a plant from soil to water than vice versa. And the longer those plants have been in water, the less chance they'll be able to revert back to soil. They now have water roots and once placed in soil will not be able to pull up water or nutrients.
But regardless of that. Why would you want to put them back in soil? They can do just as well if not better in hydroculture. Hydroculture is an innovative and highly successful method so don't worry about it. Keep them there.
Your 3rd & 4th photos are images of Aglaonema ('Emerald Green' if my memory serves me right). The other images are of a Palm, although I couldn't tell you off the top of my head which one. Both these plants are excellent candidates for hydroculture.
How do I care for my hydroculture group? I rinse/change the water at least once a month. The best fertilizer to use is one especially made for hydroculture, which you can find in hydroponic shops. However, if you do not have a shop near you or don't have any place to find that fertilizer, you can temporarily try my method.
I use Miracle Gro liquid fertilizer at 1/10th the strength. In other words, if the instructions say to add 10 drops per liter, I add 1. I feed my plants once a month during the growing season - April - September - and I make sure to change the water after 2 - 3 weeks so the fertilizer is not there for longer than needed.
Other than that, your plants don't need much else. You can disassemble the setup (which is easy to do) and clean out everything (plants, pots, medium) now and then to clean the plants as well (this removes dust from their leaves and pests that may want to take up residence). As you know, there are no more soil bugs and no more fungus/mold in the soil as there's no more soil. What more can you ask for?
For some photos of hydroculture success and more information, you can visit my personal website at:
www.waterroots.com
So relax and enjoy your plants. They will do great in hydroculture!