The best replacement for desperado is rival.

The best alternatives to desperado are rated as following:
★★★★★  rival
★★★  el mariachi
★★  once upon a time in mexico

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Speaking about desperado, one probably shouldn't forget about salma hayek.

Other search terms related to desperado and their ratings are:
★★★★★ salma hayek
★ antonio banderas and salma hayek
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desperado
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el mariachi