'Chicago' may have been shot in Toronto (as many Hollywood films are nowadays) but it was produced by Mr. Weinstein of Miramax.

'Moulin Rouge' was filmed in Australia, using Hollywood producers and Hollywood actors. They also produced/directed the 1996 remake of 'Romeo and Juliet' with Leonardo di Caprio and Clare Danes.

I suppose if one wishes to be pedantic, one can make the argument that in order to be considered a Hollywood film, the film must be made in Hollywood. That would be silly, IMO, considering the realities of co-productions between countries, and the prevalence of non-Hollywood shoots for films bankrolled in Hollywood.