So how does it sound in British accent? Since you're from UK :P

gOg, with a silent d

Good Ole' Games.

No periods in the branding so I say it as Gog, like cog.

Gee-o-gee

The funniest pronunciation will always be the right one.

Yep, easiest way to say it. As well as saying ‘facks’ for FAQs.

I say simply gog. Sounds exactly as it's written :)

I can't read, so there's that!

but, jokes aside. I usually pronounce it like "cog", but most of the time I still say "good old games".

Not who you asked but I'd pronounce the 'o' just like a lowercase 'o' not 'aw'.

I pronounce you: Go! G! Come on G! Go G Go!

Same here

Gog as in Gog and Magog

Depends.
When I mention GOG to someone who knows the site already, I say "gog" (as a word like "fog").
When I mention GOG to someone who probably doesn't know the site yet, I say "gee-oh-gee", or rather "gee-oh-gee-dot-com", simply to get the spelling across, and to make it clear, that I'm talking about a website.

Edit: Since GOG isn't short for "Good Old Games" anymore, I think the "gog" (as a word) is more appropriate (?)

If I had a personal preference, then it would be a combo - Go Gee

But I just went with the obvious of rhyming with Smog or Bog or Flog etc.