Are free cryptocurrency websites legit?

You're talking about faucets. There are very few legit free crypto websites that allow you to roll some draws and if lucky get some satoshis.
http://www.freebitco.in is legit. It has a lottery but the winning chances are dim.
You can earn dozens to hundrends of satoshis every hour.

The best alternative to earn free bitcoins (1$ sums) is to sign up at Earn.com and try to join some Lists. you would recieve paid messages & Airdrops invitation. I make around 30$ a month from earn.com