The top photo is indeed a variegated Spider Plant. It looks to be buried a bit too deep. Please check it to see the crown where all the leaves grow out is not under the soil. Soon you will see it put out a shoot full of baby plants. That is why sometimes this is also called Airplane Plant, I think because they look like little airplanes. It like bright shade.
The bottom picture is a Dracena Marginata, Dragon Plant/Tree, a type of Ti Plant. They are drought tolerant and you should let the soil dry out before watering again. They like bright light but not direct sunlight.
My ficus are picky and don't like to be moved. So once you find a good place for it, let it do it's thing and try not to move it too often or you will lose some leaves. Bright shade is what it likes. It does like to be watered, but I find that it likes to be on the dry side between waterings.