I love Twig, for some reason much better then Blade, it feels a bit more mature.
It has some easy filters and loops are better. Forelse is recently added by Blade, but things like loop variables with the loop.index/first/last etc make it just a bit easier.
And of course phpStorm support, but that's just added for Blade.
I personally think Twig is a bit cleaner than Blade in syntax. Also the way it handles auto-escaping is better. It also forces you to think a bit more about seperating the logic from the templates, because it doesn't just allow all PHP code.
Twig has also wider support as the main Template engine for Symfony but also announced support for Drupal and Magento. I think it would have been better if Laravel embraced Twig, but I guess it's easier to learn. But Blade is essentially just a little different syntax then native PHP, not much added value.
And if you're thinking about trying Twig, just look at rcrowe/TwigBridge version 0.6.x, it supports everything Blade does (view composers/creators, shared variables, facades, helpers etc)