OK..I know them both---But sadly I am having mind block with the first one. (the one on the left)
The one on the right is a:
It needs bright light but no direct sun. You should turn it every so often to help promote even growth. When the top inch of soil is dry, it is time to water it again. Yellow leaves means it has been over-watered. Drooping leaves means it is too dry.
I had one for 25 years. I had it in a large east facing window. It lived with neglect while I raised my 2 daughters. I repot it every few years..and at last it was in a pot somewhere in the size of one that is 17 inches across & 14 inches high.
Good luck & if I can make my mind work I will come & help you with the name of the first plant.
In the mean time hopefully someone else will come along that will be able to help you.