Hmm..46 vacancies. Sounds promising. But you need at least 3 years experience (and of teaching kids too). So far 125 people have applied for these posts (they are aimed at teachers resident in Madrid and Andalucia)

Always worthwhile looking at the infojobs.net site. Enter in ingles and search; you normally bring up a long list with at least some looking for native teachers..
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An English Bookseller in Madrid