Things that come to my mind:
You have full control over your assets. Whether it's safer than storing money in a bank is of course debatable.
You can trade without a centralized network of institutions, yet with the same level of guarantee against things like double spending.
Limited supply, so no inflation. Whether that's a good thing is up for debate.
A certain level of anonymity, under specific conditions. You need to know what you're doing before you bet your life on it.