Let's try to measure the popularity of Vue.JS. I really like this framework and I am a supporter of its popularization.

First, let's look at the download statistics on NPM.
Now vs year ago:
vue - 4,868,119 - 3,746,361
@angular/core - 3,416,382 - 3,015,855
react - 23,763,131 - 20,548,838

As you can see, React is in the first place in absolute values. And VueJS is only in second place.

And now let's look at the percentage growth relative to last year's values.
vue +29,9%
angular +13,3%
react +15,6%
Hurray! Vue's popularity is growing faster than any of the three!
And now let's go through the sites from the top of Google and see what JS frameworks are used there.

For example, let's take the search query "rent car".
To understand which libraries each site uses, I used Wappalyzer browser extension.
Websites from search results; NF means "there is no framework from the big three".
rentalcars.com - NF
enterprise.com - NF
kayak.com - React
avis.com - NF (old AngularJS)
localrent.com - Vue
hertz.com - NF (old BackboneJS)
sixt.com - React
budget.com - NF (old AngularJS)
zipcar.com - NF
turo.com - React
autoeurope.eu - NF
alamo.com - React
rent.toyota.co.jp - NF
booking.com - React
costcotravel.com - React
borent.nl - NF
europcar.com - Vue
turo.com - React
vipcars.com - NF
skyscanner.net - React
tripadvisor.com - NF
timescar-rental.com - NF
klook.com - Vue
wiberrentacar.com - Vue
uber.com - NF
dollar.com - React
edreams.com - Vue
nationalcar.com - NF
thrifty.com - NF

As you can see, Vue is actively moving forward!