They’re called “unicorns”—companies that have soared to a $1 billion valuation or higher, based on fundraising. The billion-dollar tech startup was once the stuff of myth, but now they seem to be everywhere, backed by a bull market and a new generation of disruptive technology.

Some say the proliferation of unicorns is a sign of another tech bubble. Others—perhaps still smarting from underestimating Facebook’s 2012 IPO, which valued the company at $104 billion—say the valuations are entirely justified. Whatever the answer, we’re clearly living in an age of confidence. Or, as we called it in our February 2015 cover story, “The Age of Unicorns.“ (Read it to learn more about the conditions that made unicorns possible—and why some investors are concerned.)

Fortune counts more than 80 unicorns today, but more appear with each passing week. Some even received their horns, so to speak, as the magazine went to press. And they’re getting bigger—there are now at least eight “decacorns,” unicorns valued at $10 billion or more. So much for being mythical.

See Fortune‘s complete list of unicorn startups below, ranked by valuation (which is why you’ll notice many ties, and why the final 20 or so are all tied at no. 63) and based on a combination of data from PitchBook, CB Insights, news reports, and our own investigation. Be forewarned: The valuations of these companies are in constant flux, and this list may not necessarily reflect the most recent estimates. Some startups may be acquired by larger companies; others may file for an IPO.

Whatever the case, we’ve decided that this phenomenon merits tracking, so we will update The Unicorn List on a quarterly basis. Watch this space.

The list below was last updated on January 22, 2015.