Great choices, bud -- especially Joseph Kosinski. Love that guy's work!
I'd also like to nominate some peeps who'd kick @$$ in the director's chair.
1) André Øvredal - He directed the
phenomenal Trollhunter and his next project has been far too long in the making. Bringing him on to Godzilla would be great for both him and the Big G.
2) Timur Bekmambetov - He directed awesome flicks with Night Watch, Day Watch, and Wanted. His Abraham Lincoln: Vampire Hunter was really loved, but it was still visually cool. Add that style to a great script, and you'll have a winner.
3) Joe Cornish - He's been spending most of his time writing, but the guy knows how to direct, too. He directed a great cast (including a young John Boyega) and cool creature action with Attack the Block.
4) Jennifer Kent - Not sure if she'd be down with it, but after The Babadook, I'm definitey looking forward to her next film. The Babadook was a great character piece while featuring sharp, creepy visuals. A Godzilla film could use some of that.
5) Drew Goddard - Known mostly for his (great) screenplays, he did happen to direct one film a few years back -- The Cabin in the Woods. That was a wicked creature free-for-all, so why not do it again on a larger scale?
6) Jonathan Liebesman - I can't really say that he makes great films, but he certainly makes ones that look awesome. Of course, he's the guy behind Battle: Los Angeles and Wrath of the Titans, as well as the reboot for Teenage Mutant Ninja Turtles. Again, partnered with a solid screenplay, you'll have a great Godzilla film.
7) Louis Leterrier - Another guy who knows how to make a visually impressive film. He was the director behind Clash of the Titans, The Incredible Hulk, and Now You See Me.
8) Gary Shore - He directed Dracula Untold, another visually awesome film. He's also not busy with anything. *wink, wink*
9) Joon-ho Bong - I'm not sure if a Korean director would like to put their spin on a Japanese monster remade for American audiences, but The Host was an excellent monster flick and Bong's first English film, Snowpiercer, was absolutely superb.
10) Jan de Bont - Here's a curveball for you. de Bont began his career as a cinematographer and then exploded in the '90s as one of the best action film directors. Speed, Speed 2, Twister, and The Haunting were all visually pleasing and action-packed. Unfortunately, after he directed Lara Croft: Tomb Raider - The Cradle of Life in 2003, he disappeared. I'd personally love to see him return as a director and officially kicking off the new Monsterverse would be a great place to start.