Next Art  Suggested by donshottype 
Radikal  Suggested by donshottype 
Apercu  Suggested by Kevinerr 

Custom lettering by Peter Seville:

https://www.independent.co.uk/life-style/fashion/burberry-new-logo-riccardo-tisci-monogram-design-peter-saville-a8474681.html

Next Art Bold is a similar font, free here at Dafont.
Note that the _G_ is quite different.

Radikal Black is another similar font. It has the same style for _G_

The font is Apercu

They do use Apercu on their web site. But the actual logo is a custom design by Peter Seville, just like @donshottype said.

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