What are the cultural achievements of Athens and Sparta?

Describing Sparta's cultural achievements can be tricky,
as their culture was not like that of other places. It is also hard to figure out
because they didn't write about their own culture - we have to rely on outsiders'
perspectives. Their militaristic lifestyle was unique, and it gained them a reputation
of being fierce, unbeatable warriors. They valued strength, restraint, austerity, and
their religion. Unlike Athens, who had things such as democracy and philosophies which
are still used today, Sparta's only real lasting effect was their image or "mirage".
Basically, how people perceive Sparta. Sadly, because they didn't write about
themselves, we can't know how accurate the information we have on them is, so this
question is a bit hard to answer (at least on the Spartan side of
things).