It seems almost certain that there were others.
There are no other named examples in canon, but in Fantastic Beasts and Where to Find Them, the entry for “Basilisk” reads:
Herpo the Foul’s Basilisk is believed to have lived for close on nine hundred years.
The creation of Basilisks has been illegal since medieval times, although the practice is easily concealed by simply removing the chicken egg from beneath the toad when the Department for the Regulation and Control of Magical Creatures comes to call. However, since Basilisks are uncontrollable except by Parselmouths, they are as dangerous to most Dark wizards as to anybody else, and there have been no recorded sightings of Basilisks in Britain for at least four hundred years.
Herpo the Foul’s Basilisk would already be dead, and nobody knew about Salazar Slytherin’s.
This wording naturally implies that there have been recorded sightings of Basilisks in Britain, hence other Basilisks have existed.
As for why nobody did it, it would be exceptionally foolish unless you were a Parselmouth, because it would probably kill you as soon as it hatched. (Well, as @SeanCondon points out, you could get clear first. But I don’t think it’s something most people, even most dark wizards, would consider.)