Some, others and again others?

You will commonly find people using still others.

Brett and Keith both have good answers. Another possibility is to repeat "some", as in, "Some people like oranges, some like apples, and others like bananas."

Also, "yet others" is sometimes seen, but more often the word "yet" in this case is a connotation that the rest of the sentence is true despite everything preceding it. It can still be useful: "Some people like apples, others like oranges, yet others enjoy bananas" implies that despite preferences among many for apples and oranges, there are those who enjoy bananas as well.

Some...,others...and others again... is a perfectly normal construction; sometimes there are commas before and after again, but they are not necessary.

Others said, "He is the Christ." But others again, "Not so, for is the Christ to come from Galilee?

(John 7:41, Weymouth New Testament)