A good looking, I think way to keep house plants is Passive Hydroponics. That can be as simple as sticking a cutting into a jar with aged Aquarium water.
I just started a Spyder plant like that. I recycled a pc of black filter sponge to plug the jar neck, cut a slit in the foam and incerted the cutting. The foam holds the plant with small new roots in place.
Knotyoureality mentioned great choices, philodendren and pothos those can be grow Passive Hydroponicly. I've noticed our local Goodwill shop always has nice glass flower vases and old beta bowls for just a few dollars. A few glass jars, vases, bowls with plants can look pretty cool growing in a window.
A very over looked option is in your kitchen, seeds from fruit.
I've recovered sprouted fruit seeds from our compost bin and they are some of our favorite house plants. We have a 4' grapefruit tree that's 12 years old. It does require pruning to keep it under control. Never got fruit. The leaves are much like a Ficus.
Our favorite is our Mango, it's 6-7 years old.
Both are slower grows indoors, we put them out on the deck after the frost and until the fall frost.
We've done some pineapples but just don't have the photoperiod to keep them going.