Lord of the Rings was famously filmed in New Zealand and brought accents to our movies. Now you'd be hard pressed to watch a recent film without a couple accents.
Post-production is pretty much all that's left in Los Angeles.
Edit: Sorry, in my quick commenting, I meant to imply that accents are more a symbol that Hollywood films its big blockbusters outside the US now. In re-thinking it, it was a bad form.